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<h3>

Richard Eisenberg pushed to branch wip/update-core-spec

at <a href="https://gitlab.haskell.org/ghc/ghc">Glasgow Haskell Compiler / GHC</a>

</h3>

<h4>

Commits:

</h4>

<ul>

<li>

<strong><a href="https://gitlab.haskell.org/ghc/ghc/commit/dd0ab8635f191408aab4acdf140696606c895fa0">dd0ab863</a></strong>

<div>

<span>by Richard Eisenberg</span>

<i>at 2020-03-19T12:04:37Z</i>

</div>

<pre class="commit-message" style="white-space: pre-wrap; margin: 0;">Update core spec to reflect changes to Core.

Key changes:

 * Adds a new rule for forall-coercions over coercion variables, which

was implemented but conspicuously missing from the spec.

 * Adds treatment for FunCo.

 * Improves commentary (including restoring a Note lost in

03d4852658e1b7407abb4da84b1b03bfa6f6db3b) in the source.

No changes to running code.

</pre>

</li>

</ul>

<h4>9 changed files:</h4>

<ul>

<li class="file-stats">

<a href="#783e5dae6e86931f06700fc088fb7d48c8a07386">

compiler/GHC/Core/Coercion.hs

</a>

</li>

<li class="file-stats">

<a href="#36a42448a83a9d1f6df8475f03ead2eed199dd8e">

compiler/GHC/Core/Lint.hs

</a>

</li>

<li class="file-stats">

<a href="#578c7c3857d66d963736ff6742f3433a0e8d01b7">

compiler/GHC/Core/TyCo/Rep.hs

</a>

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<li class="file-stats">

<a href="#84c9d3ba34173297e7d7747e02caa2e004b164fc">

compiler/GHC/Core/Type.hs

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<li class="file-stats">

<a href="#89a2e0e1a3095c7a42b10f2819049908908080e8">

compiler/GHC/Core/Unify.hs

</a>

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<li class="file-stats">

<a href="#f740374ad9d1ce333c9d2992b2feda632e24371f">

docs/core-spec/CoreLint.ott

</a>

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<li class="file-stats">

<a href="#560a2a2363bd7c0d01f90fdb07e153565ada8556">

docs/core-spec/CoreSyn.ott

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<a href="#7dc5395d86b92c5a2b05aa2e9c13c1635f051da8">

docs/core-spec/core-spec.mng

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<li class="file-stats">

<a href="#992e7eb1bd13e4d31f52ca068190ea73dba7e829">

docs/core-spec/core-spec.pdf

</a>

</li>

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<h4>Changes:</h4>

<li id="783e5dae6e86931f06700fc088fb7d48c8a07386">

<a href="https://gitlab.haskell.org/ghc/ghc/commit/dd0ab8635f191408aab4acdf140696606c895fa0#783e5dae6e86931f06700fc088fb7d48c8a07386"><strong>compiler/GHC/Core/Coercion.hs</strong></a>

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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="1367" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="diff-line-num unfold js-unfold new_line" data-linenumber="1367" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -1367,7 +1367,7 @@ promoteCoercion co = case co of</td>

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1367

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<pre style="margin: 0;"> <span id="LC1367" class="line" lang="haskell">    <span class="kt" style="color: #458; font-weight: 600;">ForAllCo</span> <span class="kr" style="font-weight: 600;">_</span> <span class="kr" style="font-weight: 600;">_</span> <span class="kr" style="font-weight: 600;">_</span></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="1368" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1368

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<td class="diff-line-num new_line" data-linenumber="1368" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1368

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<pre style="margin: 0;"> <span id="LC1368" class="line" lang="haskell">      <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ASSERT</span><span class="p">(</span> <span class="kt" style="color: #458; font-weight: 600;">False</span> <span class="p">)</span></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="1369" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1369

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<td class="diff-line-num new_line" data-linenumber="1369" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1369

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<pre style="margin: 0;"> <span id="LC1369" class="line" lang="haskell">         <span class="n" style="color: #333;">mkNomReflCo</span> <span class="n" style="color: #333;">liftedTypeKind</span></span>

</pre>

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<td class="diff-line-num old old_line" data-linenumber="1370" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">

1370

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<td class="diff-line-num new_line old" data-linenumber="1370" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">

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<pre style="margin: 0;">-<span id="LC1370" class="line" lang="haskell">      <span class="c1" style="color: #998; font-style: italic;">-- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">pe</span></span></span>

</pre>

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<td class="diff-line-num new new_line" data-linenumber="1370" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

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<pre style="margin: 0;">+<span id="LC1370" class="line" lang="haskell">      <span class="c1" style="color: #998; font-style: italic;">-- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">Co.Rep</span></span></span>

</pre>

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1371

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1371

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<pre style="margin: 0;"> <span id="LC1371" class="line" lang="haskell"></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="1372" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1372

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1372

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<pre style="margin: 0;"> <span id="LC1372" class="line" lang="haskell">    <span class="kt" style="color: #458; font-weight: 600;">FunCo</span> <span class="kr" style="font-weight: 600;">_</span> <span class="kr" style="font-weight: 600;">_</span> <span class="kr" style="font-weight: 600;">_</span></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="1373" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1373

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<td class="diff-line-num new_line" data-linenumber="1373" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1373

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<pre style="margin: 0;"> <span id="LC1373" class="line" lang="haskell">      <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ASSERT</span><span class="p">(</span> <span class="kt" style="color: #458; font-weight: 600;">False</span> <span class="p">)</span></span>

</pre>

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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="1416" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="diff-line-num unfold js-unfold new_line" data-linenumber="1416" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -1416,7 +1416,7 @@ promoteCoercion co = case co of</td>

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<pre style="margin: 0;"> <span id="LC1416" class="line" lang="haskell">      <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">otherwise</span></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="1417" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

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<pre style="margin: 0;"> <span id="LC1417" class="line" lang="haskell">      <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ASSERT</span><span class="p">(</span> <span class="kt" style="color: #458; font-weight: 600;">False</span><span class="p">)</span></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="1418" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

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<pre style="margin: 0;"> <span id="LC1418" class="line" lang="haskell">         <span class="n" style="color: #333;">mkNomReflCo</span> <span class="n" style="color: #333;">liftedTypeKind</span></span>

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<td class="diff-line-num old old_line" data-linenumber="1419" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">

1419

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<pre style="margin: 0;">-<span id="LC1419" class="line" lang="haskell">           <span class="c1" style="color: #998; font-style: italic;">-- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">pe</span></span></span>

</pre>

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<td class="diff-line-num new new_line" data-linenumber="1419" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

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<pre style="margin: 0;">+<span id="LC1419" class="line" lang="haskell">           <span class="c1" style="color: #998; font-style: italic;">-- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">Co.Rep</span></span></span>

</pre>

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<pre style="margin: 0;"> <span id="LC1420" class="line" lang="haskell"></span>

</pre>

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1421

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<pre style="margin: 0;"> <span id="LC1421" class="line" lang="haskell">    <span class="kt" style="color: #458; font-weight: 600;">KindCo</span> <span class="kr" style="font-weight: 600;">_</span></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="1422" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1422

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<td class="diff-line-num new_line" data-linenumber="1422" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1422

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<pre style="margin: 0;"> <span id="LC1422" class="line" lang="haskell">      <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ASSERT</span><span class="p">(</span> <span class="kt" style="color: #458; font-weight: 600;">False</span> <span class="p">)</span></span>

</pre>

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<br>

</li>

<li id="36a42448a83a9d1f6df8475f03ead2eed199dd8e">

<a href="https://gitlab.haskell.org/ghc/ghc/commit/dd0ab8635f191408aab4acdf140696606c895fa0#36a42448a83a9d1f6df8475f03ead2eed199dd8e"><strong>compiler/GHC/Core/Lint.hs</strong></a>

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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="1825" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="diff-line-num unfold js-unfold new_line" data-linenumber="1825" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -1825,7 +1825,7 @@ lintCoercion (ForAllCo cv1 kind_co co)</td>

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<td class="diff-line-num old_line" data-linenumber="1825" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

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<pre style="margin: 0;"> <span id="LC1825" class="line" lang="haskell">       <span class="p">;</span> <span class="p">(</span><span class="n" style="color: #333;">k3</span><span class="p">,</span> <span class="n" style="color: #333;">k4</span><span class="p">,</span> <span class="n" style="color: #333;">t1</span><span class="p">,</span> <span class="n" style="color: #333;">t2</span><span class="p">,</span> <span class="n" style="color: #333;">r</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><-</span> <span class="n" style="color: #333;">lintCoercion</span> <span class="n" style="color: #333;">co</span></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="1826" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1826

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<td class="diff-line-num new_line" data-linenumber="1826" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1826

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<pre style="margin: 0;"> <span id="LC1826" class="line" lang="haskell">       <span class="p">;</span> <span class="n" style="color: #333;">checkValueKind</span> <span class="n" style="color: #333;">k3</span> <span class="p">(</span><span class="n" style="color: #333;">text</span> <span class="s" style="color: #d14;">"the body of a ForAllCo over covar:"</span> <span class="o" style="font-weight: 600;"><+></span> <span class="n" style="color: #333;">ppr</span> <span class="n" style="color: #333;">co</span><span class="p">)</span></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="1827" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

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<td class="diff-line-num new_line" data-linenumber="1827" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1827

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<pre style="margin: 0;"> <span id="LC1827" class="line" lang="haskell">       <span class="p">;</span> <span class="n" style="color: #333;">checkValueKind</span> <span class="n" style="color: #333;">k4</span> <span class="p">(</span><span class="n" style="color: #333;">text</span> <span class="s" style="color: #d14;">"the body of a ForAllCo over covar:"</span> <span class="o" style="font-weight: 600;"><+></span> <span class="n" style="color: #333;">ppr</span> <span class="n" style="color: #333;">co</span><span class="p">)</span></span>

</pre>

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<td class="diff-line-num old old_line" data-linenumber="1828" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">

1828

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<td class="diff-line-num new_line old" data-linenumber="1828" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">

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<pre style="margin: 0;">-<span id="LC1828" class="line" lang="haskell">           <span class="c1" style="color: #998; font-style: italic;">-- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">pe</span></span></span>

</pre>

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<td class="diff-line-num new old_line" data-linenumber="1829" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

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<td class="diff-line-num new new_line" data-linenumber="1828" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

1828

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<pre style="margin: 0;">+<span id="LC1828" class="line" lang="haskell">           <span class="c1" style="color: #998; font-style: italic;">-- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">Co.Rep</span></span></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="1829" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1829

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<td class="diff-line-num new_line" data-linenumber="1829" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1829

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<pre style="margin: 0;"> <span id="LC1829" class="line" lang="haskell">       <span class="p">;</span> <span class="n" style="color: #333;">in_scope</span> <span class="o" style="font-weight: 600;"><-</span> <span class="n" style="color: #333;">getInScope</span></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="1830" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1830

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<td class="diff-line-num new_line" data-linenumber="1830" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1830

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<pre style="margin: 0;"> <span id="LC1830" class="line" lang="haskell">       <span class="p">;</span> <span class="kr" style="font-weight: 600;">let</span> <span class="n" style="color: #333;">tyl</span>   <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">mkTyCoInvForAllTy</span> <span class="n" style="color: #333;">cv1</span> <span class="n" style="color: #333;">t1</span></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="1831" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1831

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<td class="diff-line-num new_line" data-linenumber="1831" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1831

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<pre style="margin: 0;"> <span id="LC1831" class="line" lang="haskell">             <span class="n" style="color: #333;">r2</span>    <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">coVarRole</span> <span class="n" style="color: #333;">cv1</span></span>

</pre>

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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="1844" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="diff-line-num unfold js-unfold new_line" data-linenumber="1844" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -1844,7 +1844,7 @@ lintCoercion (ForAllCo cv1 kind_co co)</td>

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1844

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<td class="diff-line-num new_line" data-linenumber="1844" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1844

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<pre style="margin: 0;"> <span id="LC1844" class="line" lang="haskell">             <span class="n" style="color: #333;">tyr</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">mkTyCoInvForAllTy</span> <span class="n" style="color: #333;">cv2</span> <span class="o" style="font-weight: 600;">$</span></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="1845" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1845

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<td class="diff-line-num new_line" data-linenumber="1845" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1845

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<pre style="margin: 0;"> <span id="LC1845" class="line" lang="haskell">                   <span class="n" style="color: #333;">substTy</span> <span class="n" style="color: #333;">subst</span> <span class="n" style="color: #333;">t2</span></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="1846" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1846

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<td class="diff-line-num new_line" data-linenumber="1846" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1846

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<pre style="margin: 0;"> <span id="LC1846" class="line" lang="haskell">       <span class="p">;</span> <span class="n" style="color: #333;">return</span> <span class="p">(</span><span class="n" style="color: #333;">liftedTypeKind</span><span class="p">,</span> <span class="n" style="color: #333;">liftedTypeKind</span><span class="p">,</span> <span class="n" style="color: #333;">tyl</span><span class="p">,</span> <span class="n" style="color: #333;">tyr</span><span class="p">,</span> <span class="n" style="color: #333;">r</span><span class="p">)</span> <span class="p">}</span> <span class="p">}</span></span>

</pre>

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<td class="diff-line-num old old_line" data-linenumber="1847" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">

1847

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<td class="diff-line-num new_line old" data-linenumber="1847" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">

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<pre style="margin: 0;">-<span id="LC1847" class="line" lang="haskell">                   <span class="c1" style="color: #998; font-style: italic;">-- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">pe</span></span></span>

</pre>

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<td class="diff-line-num new old_line" data-linenumber="1848" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

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<td class="diff-line-num new new_line" data-linenumber="1847" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

1847

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<pre style="margin: 0;">+<span id="LC1847" class="line" lang="haskell">                   <span class="c1" style="color: #998; font-style: italic;">-- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">Co.Rep</span></span></span>

</pre>

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1848

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1848

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<pre style="margin: 0;"> <span id="LC1848" class="line" lang="haskell"></span>

</pre>

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1849

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1849

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<pre style="margin: 0;"> <span id="LC1849" class="line" lang="haskell"><span class="n" style="color: #333;">lintCoercion</span> <span class="n" style="color: #333;">co</span><span class="o" style="font-weight: 600;">@</span><span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">FunCo</span> <span class="n" style="color: #333;">r</span> <span class="n" style="color: #333;">co1</span> <span class="n" style="color: #333;">co2</span><span class="p">)</span></span>

</pre>

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1850

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1850

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<pre style="margin: 0;"> <span id="LC1850" class="line" lang="haskell">  <span class="o" style="font-weight: 600;">=</span> <span class="kr" style="font-weight: 600;">do</span> <span class="p">{</span> <span class="p">(</span><span class="n" style="color: #333;">k1</span><span class="p">,</span><span class="n" style="color: #333;">k'1</span><span class="p">,</span><span class="n" style="color: #333;">s1</span><span class="p">,</span><span class="n" style="color: #333;">t1</span><span class="p">,</span><span class="n" style="color: #333;">r1</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><-</span> <span class="n" style="color: #333;">lintCoercion</span> <span class="n" style="color: #333;">co1</span></span>

</pre>

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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="2018" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="diff-line-num unfold js-unfold new_line" data-linenumber="2018" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -2018,7 +2018,7 @@ lintCoercion (InstCo co arg)</td>

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2018

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2018

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<pre style="margin: 0;"> <span id="LC2018" class="line" lang="haskell">             <span class="p">,</span> <span class="kt" style="color: #458; font-weight: 600;">CoercionTy</span> <span class="n" style="color: #333;">s2'</span> <span class="o" style="font-weight: 600;"><-</span> <span class="n" style="color: #333;">s2</span></span>

</pre>

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2019

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2019

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<pre style="margin: 0;"> <span id="LC2019" class="line" lang="haskell">             <span class="o" style="font-weight: 600;">-></span> <span class="kr" style="font-weight: 600;">do</span> <span class="p">{</span> <span class="n" style="color: #333;">return</span> <span class="o" style="font-weight: 600;">$</span></span>

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2020

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2020

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<pre style="margin: 0;"> <span id="LC2020" class="line" lang="haskell">                       <span class="p">(</span><span class="n" style="color: #333;">liftedTypeKind</span><span class="p">,</span> <span class="n" style="color: #333;">liftedTypeKind</span></span>

</pre>

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2021

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<pre style="margin: 0;">-<span id="LC2021" class="line" lang="haskell">                          <span class="c1" style="color: #998; font-style: italic;">-- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">pe</span></span></span>

</pre>

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2021

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<pre style="margin: 0;">+<span id="LC2021" class="line" lang="haskell">                          <span class="c1" style="color: #998; font-style: italic;">-- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">Co.Rep</span></span></span>

</pre>

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2022

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2022

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<pre style="margin: 0;"> <span id="LC2022" class="line" lang="haskell">                       <span class="p">,</span> <span class="n" style="color: #333;">substTy</span> <span class="p">(</span><span class="n" style="color: #333;">mkCvSubst</span> <span class="n" style="color: #333;">in_scope</span> <span class="o" style="font-weight: 600;">$</span> <span class="n" style="color: #333;">unitVarEnv</span> <span class="n" style="color: #333;">cv1</span> <span class="n" style="color: #333;">s1'</span><span class="p">)</span> <span class="n" style="color: #333;">t1</span></span>

</pre>

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2023

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2023

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<pre style="margin: 0;"> <span id="LC2023" class="line" lang="haskell">                       <span class="p">,</span> <span class="n" style="color: #333;">substTy</span> <span class="p">(</span><span class="n" style="color: #333;">mkCvSubst</span> <span class="n" style="color: #333;">in_scope</span> <span class="o" style="font-weight: 600;">$</span> <span class="n" style="color: #333;">unitVarEnv</span> <span class="n" style="color: #333;">cv2</span> <span class="n" style="color: #333;">s2'</span><span class="p">)</span> <span class="n" style="color: #333;">t2</span></span>

</pre>

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2024

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2024

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<pre style="margin: 0;"> <span id="LC2024" class="line" lang="haskell">                       <span class="p">,</span> <span class="n" style="color: #333;">r</span><span class="p">)</span> <span class="p">}</span></span>

</pre>

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<br>

</li>

<li id="578c7c3857d66d963736ff6742f3433a0e8d01b7">

<a href="https://gitlab.haskell.org/ghc/ghc/commit/dd0ab8635f191408aab4acdf140696606c895fa0#578c7c3857d66d963736ff6742f3433a0e8d01b7"><strong>compiler/GHC/Core/TyCo/Rep.hs</strong></a>

<hr>

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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="578" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="diff-line-num unfold js-unfold new_line" data-linenumber="578" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -578,7 +578,7 @@ In sum, in order to uphold (EQ), we need the following three invariants:</td>

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578

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578

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<pre style="margin: 0;"> <span id="LC578" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">  (EQ2) No reflexive casts in CastTy.</span></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="579" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

579

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579

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<pre style="margin: 0;"> <span id="LC579" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">  (EQ3) No nested CastTys.</span></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="580" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

580

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580

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<pre style="margin: 0;"> <span id="LC580" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">  (EQ4) No CastTy over (ForAllTy (Bndr tyvar vis) body).</span></span>

</pre>

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581

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<td class="diff-line-num new_line old" data-linenumber="581" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">

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<pre style="margin: 0;">-<span id="LC581" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">        See Note [Weird typing rule for ForAllTy]<span class="idiff left right"> in GHC.Core.Type.</span></span></span>

</pre>

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581

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<pre style="margin: 0;">+<span id="LC581" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">        See Note [Weird typing rule for ForAllTy]</span></span>

</pre>

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582

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582

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<pre style="margin: 0;"> <span id="LC582" class="line" lang="haskell"></span>

</pre>

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583

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583

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<pre style="margin: 0;"> <span id="LC583" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">These invariants are all documented above, in the declaration for Type.</span></span>

</pre>

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584

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584

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<pre style="margin: 0;"> <span id="LC584" class="line" lang="haskell"></span>

</pre>

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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="607" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="diff-line-num unfold js-unfold new_line" data-linenumber="607" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -607,6 +607,23 @@ There are cases we want to skip the check. For example, the check is</td>

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607

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<pre style="margin: 0;"> <span id="LC607" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">unnecessary when it is known from the context that the input variable</span></span>

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608

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608

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<pre style="margin: 0;"> <span id="LC608" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">is a type variable.  In those cases, we use mkForAllTy.</span></span>

</pre>

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609

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609

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<pre style="margin: 0;"> <span id="LC609" class="line" lang="haskell"></span>

</pre>

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610

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<pre style="margin: 0;">+<span id="LC610" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Note [Weird typing rule for ForAllTy]</span></span>

</pre>

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611

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<pre style="margin: 0;">+<span id="LC611" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~</span></span>

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<pre style="margin: 0;">+<span id="LC612" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Here is the (truncated) typing rule for the dependent ForAllTy:</span></span>

</pre>

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613

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<pre style="margin: 0;">+<span id="LC613" class="line" lang="haskell"></span>

</pre>

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614

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<pre style="margin: 0;">+<span id="LC614" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">inner : kind</span></span>

</pre>

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615

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<pre style="margin: 0;">+<span id="LC615" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">------------------------------------</span></span>

</pre>

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<pre style="margin: 0;">+<span id="LC616" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">ForAllTy (Bndr tyvar vis) inner : kind</span></span>

</pre>

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617

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<pre style="margin: 0;">+<span id="LC617" class="line" lang="haskell"></span>

</pre>

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618

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<pre style="margin: 0;">+<span id="LC618" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">inner : TYPE r</span></span>

</pre>

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619

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<pre style="margin: 0;">+<span id="LC619" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">------------------------------------</span></span>

</pre>

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620

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<pre style="margin: 0;">+<span id="LC620" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">ForAllTy (Bndr covar vis) inner : TYPE</span></span>

</pre>

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621

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<pre style="margin: 0;">+<span id="LC621" class="line" lang="haskell"></span>

</pre>

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622

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<pre style="margin: 0;">+<span id="LC622" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Note that when inside the binder is a tyvar, neither the inner type nor for</span></span>

</pre>

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<td class="diff-line-num new new_line" data-linenumber="623" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

623

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<pre style="margin: 0;">+<span id="LC623" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">ForAllTy itself have to have kind *! But, it means that we should push any kind</span></span>

</pre>

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<td class="diff-line-num new old_line" data-linenumber="610" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

</td>

<td class="diff-line-num new new_line" data-linenumber="624" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

624

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<pre style="margin: 0;">+<span id="LC624" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">casts through the ForAllTy. The only trouble is avoiding capture.</span></span>

</pre>

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<td class="diff-line-num new old_line" data-linenumber="610" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

</td>

<td class="diff-line-num new new_line" data-linenumber="625" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

625

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<pre style="margin: 0;">+<span id="LC625" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">See GHC.Core.Type.mkCastTy.</span></span>

</pre>

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<td class="diff-line-num new old_line" data-linenumber="610" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

</td>

<td class="diff-line-num new new_line" data-linenumber="626" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

626

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<pre style="margin: 0;">+<span id="LC626" class="line" lang="haskell"></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="610" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

610

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<td class="diff-line-num new_line" data-linenumber="627" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

627

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<pre style="margin: 0;"> <span id="LC627" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">-}</span></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="611" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

611

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<td class="diff-line-num new_line" data-linenumber="628" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

628

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<pre style="margin: 0;"> <span id="LC628" class="line" lang="haskell"></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="612" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

612

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<td class="diff-line-num new_line" data-linenumber="629" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

629

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<pre style="margin: 0;"> <span id="LC629" class="line" lang="haskell"><span class="cd">-- | A type labeled 'KnotTied' might have knot-tied tycons in it. See</span></span>

</pre>

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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="1003" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="diff-line-num unfold js-unfold new_line" data-linenumber="1020" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -1003,6 +1020,7 @@ data Coercion</td>

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<td class="diff-line-num old_line" data-linenumber="1003" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1003

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<td class="diff-line-num new_line" data-linenumber="1020" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1020

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<pre style="margin: 0;"> <span id="LC1020" class="line" lang="haskell">               <span class="c1" style="color: #998; font-style: italic;">-- The TyCon is never a synonym;</span></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="1004" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1004

</td>

<td class="diff-line-num new_line" data-linenumber="1021" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1021

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<pre style="margin: 0;"> <span id="LC1021" class="line" lang="haskell">               <span class="c1" style="color: #998; font-style: italic;">-- we expand synonyms eagerly</span></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="1005" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1005

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<td class="diff-line-num new_line" data-linenumber="1022" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1022

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<pre style="margin: 0;"> <span id="LC1022" class="line" lang="haskell">               <span class="c1" style="color: #998; font-style: italic;">-- But it can be a type function</span></span>

</pre>

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<td class="diff-line-num new old_line" data-linenumber="1006" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

</td>

<td class="diff-line-num new new_line" data-linenumber="1023" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

1023

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<pre style="margin: 0;">+<span id="LC1023" class="line" lang="haskell">               <span class="c1" style="color: #998; font-style: italic;">-- TyCon is never a saturated (->); use FunCo instead</span></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="1006" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1006

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<td class="diff-line-num new_line" data-linenumber="1024" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1024

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<pre style="margin: 0;"> <span id="LC1024" class="line" lang="haskell"></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="1007" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1007

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<td class="diff-line-num new_line" data-linenumber="1025" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1025

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<pre style="margin: 0;"> <span id="LC1025" class="line" lang="haskell">  <span class="o" style="font-weight: 600;">|</span> <span class="kt" style="color: #458; font-weight: 600;">AppCo</span> <span class="kt" style="color: #458; font-weight: 600;">Coercion</span> <span class="kt" style="color: #458; font-weight: 600;">CoercionN</span>             <span class="c1" style="color: #998; font-style: italic;">-- lift AppTy</span></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="1008" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1008

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<td class="diff-line-num new_line" data-linenumber="1026" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1026

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<pre style="margin: 0;"> <span id="LC1026" class="line" lang="haskell">          <span class="c1" style="color: #998; font-style: italic;">-- AppCo :: e -> N -> e</span></span>

</pre>

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<br>

</li>

<li id="84c9d3ba34173297e7d7747e02caa2e004b164fc">

<a href="https://gitlab.haskell.org/ghc/ghc/commit/dd0ab8635f191408aab4acdf140696606c895fa0#84c9d3ba34173297e7d7747e02caa2e004b164fc"><strong>compiler/GHC/Core/Type.hs</strong></a>

<hr>

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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="1382" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="diff-line-num unfold js-unfold new_line" data-linenumber="1382" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -1382,6 +1382,7 @@ mkCastTy (CastTy ty co1) co2</td>

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<td class="diff-line-num old_line" data-linenumber="1382" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1382

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1382

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<pre style="margin: 0;"> <span id="LC1382" class="line" lang="haskell"></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="1383" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1383

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<td class="diff-line-num new_line" data-linenumber="1383" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1383

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<pre style="margin: 0;"> <span id="LC1383" class="line" lang="haskell"><span class="n" style="color: #333;">mkCastTy</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ForAllTy</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">Bndr</span> <span class="n" style="color: #333;">tv</span> <span class="n" style="color: #333;">vis</span><span class="p">)</span> <span class="n" style="color: #333;">inner_ty</span><span class="p">)</span> <span class="n" style="color: #333;">co</span></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="1384" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1384

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<td class="diff-line-num new_line" data-linenumber="1384" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

1384

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<pre style="margin: 0;"> <span id="LC1384" class="line" lang="haskell">  <span class="c1" style="color: #998; font-style: italic;">-- (EQ4) from the Note</span></span>

</pre>

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<td class="diff-line-num new old_line" data-linenumber="1385" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

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<td class="diff-line-num new new_line" data-linenumber="1385" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

1385

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<pre style="margin: 0;">+<span id="LC1385" class="line" lang="haskell">  <span class="c1" style="color: #998; font-style: italic;">-- See Note [Weird typing rule for ForAllTy in GHC.Core.TyCo.Rep.</span></span>

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<pre style="margin: 0;"> <span id="LC1386" class="line" lang="haskell">  <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">isTyVar</span> <span class="n" style="color: #333;">tv</span></span>

</pre>

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<pre style="margin: 0;"> <span id="LC1387" class="line" lang="haskell">  <span class="p">,</span> <span class="kr" style="font-weight: 600;">let</span> <span class="n" style="color: #333;">fvs</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">tyCoVarsOfCo</span> <span class="n" style="color: #333;">co</span></span>

</pre>

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<pre style="margin: 0;"> <span id="LC1388" class="line" lang="haskell">  <span class="o" style="font-weight: 600;">=</span> <span class="c1" style="color: #998; font-style: italic;">-- have to make sure that pushing the co in doesn't capture the bound var!</span></span>

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<br>

</li>

<li id="89a2e0e1a3095c7a42b10f2819049908908080e8">

<a href="https://gitlab.haskell.org/ghc/ghc/commit/dd0ab8635f191408aab4acdf140696606c895fa0#89a2e0e1a3095c7a42b10f2819049908908080e8"><strong>compiler/GHC/Core/Unify.hs</strong></a>

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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="1507" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="diff-line-num unfold js-unfold new_line" data-linenumber="1507" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -1507,7 +1507,7 @@ ty_co_match menv subst (ForAllTy (Bndr tv1 _) ty1)</td>

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<pre style="margin: 0;"> <span id="LC1507" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">--        subst2 <- ty_co_match menv subst1 s2 eta2 kco3 kco4</span></span>

</pre>

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1508

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<pre style="margin: 0;"> <span id="LC1508" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">--      Question: How do we get kcoi?</span></span>

</pre>

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<pre style="margin: 0;"> <span id="LC1509" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">--   2. Given:</span></span>

</pre>

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1510

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<pre style="margin: 0;">-<span id="LC1510" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">--        lkco :: <*>    -- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">pe</span></span></span>

</pre>

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1510

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<pre style="margin: 0;">+<span id="LC1510" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">--        lkco :: <*>    -- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">Co.Rep</span></span></span>

</pre>

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1511

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<pre style="margin: 0;"> <span id="LC1511" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">--        rkco :: <*></span></span>

</pre>

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<pre style="margin: 0;"> <span id="LC1512" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">--      Wanted:</span></span>

</pre>

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1513

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1513

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<pre style="margin: 0;"> <span id="LC1513" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">--        ty_co_match menv' subst2 ty1 co2 lkco' rkco'</span></span>

</pre>

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<li id="f740374ad9d1ce333c9d2992b2feda632e24371f">

<a href="https://gitlab.haskell.org/ghc/ghc/commit/dd0ab8635f191408aab4acdf140696606c895fa0#f740374ad9d1ce333c9d2992b2feda632e24371f"><strong>docs/core-spec/CoreLint.ott</strong></a>

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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="232" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="diff-line-num unfold js-unfold new_line" data-linenumber="232" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -232,8 +232,8 @@ G |-co g1 : s1 k1~R k'1 t1</td>

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<pre style="margin: 0;"> <span id="LC232" class="line" lang="plaintext">G |-co g2 : s2 k2~R k'2 t2</span>

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<pre style="margin: 0;"> <span id="LC233" class="line" lang="plaintext">G |-arrow k1 -> k2 : k</span>

</pre>

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<pre style="margin: 0;"> <span id="LC234" class="line" lang="plaintext">G |-arrow k'1 -> k'2 : k'</span>

</pre>

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<pre style="margin: 0;">-<span id="LC235" class="line" lang="plaintext">------------------------- :: <span class="idiff left right">TyConAppCoFunTy</span></span>

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<pre style="margin: 0;">-<span id="LC236" class="line" lang="plaintext">G |-co <span class="idiff left right">(->)_R g1</span> g2 : (s1 -> s2) k~R k' (t1 -> t2)</span>

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<pre style="margin: 0;">+<span id="LC235" class="line" lang="plaintext">------------------------- :: <span class="idiff left right">FunCo</span></span>

</pre>

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<td class="diff-line-num new new_line" data-linenumber="236" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

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<pre style="margin: 0;">+<span id="LC236" class="line" lang="plaintext">G |-co <span class="idiff left right">g1 ->_R</span> g2 : (s1 -> s2) k~R k' (t1 -> t2)</span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="237" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

237

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<pre style="margin: 0;"> <span id="LC237" class="line" lang="plaintext"></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="238" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

238

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<td class="diff-line-num new_line" data-linenumber="238" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

238

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<pre style="margin: 0;"> <span id="LC238" class="line" lang="plaintext">T /= (->)</span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="239" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

239

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<td class="diff-line-num new_line" data-linenumber="239" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

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<pre style="margin: 0;"> <span id="LC239" class="line" lang="plaintext"></ Ri // i /> = take(length </ gi // i />, tyConRolesX R T)</span>

</pre>

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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="258" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="diff-line-num unfold js-unfold new_line" data-linenumber="258" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -258,9 +258,19 @@ G |-app (t2 : k2') : k2 ~> k4</td>

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<td class="diff-line-num old_line" data-linenumber="258" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

258

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<td class="diff-line-num new_line" data-linenumber="258" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

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<pre style="margin: 0;"> <span id="LC258" class="line" lang="plaintext">G |-co g1 g2 : (s1 t1) k3~Ph k4 (s2 t2)</span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="259" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

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<td class="diff-line-num new_line" data-linenumber="259" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

259

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<pre style="margin: 0;"> <span id="LC259" class="line" lang="plaintext"></span>

</pre>

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<td class="diff-line-num old_line" data-linenumber="260" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

260

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<td class="diff-line-num new_line" data-linenumber="260" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">

260

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<pre style="margin: 0;"> <span id="LC260" class="line" lang="plaintext">G |-co h : k1 *~Nom * k2</span>

</pre>

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<td class="diff-line-num old old_line" data-linenumber="261" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">

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<td class="diff-line-num new_line old" data-linenumber="261" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">

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<pre style="margin: 0;">-<span id="LC261" class="line" lang="plaintext">G, z_k1 |-co g : t1 k3~R k4 t2</span>

</pre>

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<td class="diff-line-num old old_line" data-linenumber="262" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">

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<td class="diff-line-num new_line old" data-linenumber="261" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">

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<pre style="margin: 0;">-<span id="LC262" class="line" lang="plaintext">------------------------------------------------------------------ :: ForAllCo</span>

</pre>

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<td class="diff-line-num old old_line" data-linenumber="263" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">

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<td class="diff-line-num new_line old" data-linenumber="261" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">

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<pre style="margin: 0;">-<span id="LC263" class="line" lang="plaintext">G |-co forall z:h. g : (forall z_k1. t1) k3~R k4 (forall z_k2. (t2[z |-> z_k2 |> sym h]))</span>

</pre>

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<td class="diff-line-num new old_line" data-linenumber="264" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

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<td class="diff-line-num new new_line" data-linenumber="261" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

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<pre style="margin: 0;">+<span id="LC261" class="line" lang="plaintext">G, alpha_k1 |-co g : t1 k3~R k4 t2</span>

</pre>

</td>

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<td class="diff-line-num new old_line" data-linenumber="264" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

</td>

<td class="diff-line-num new new_line" data-linenumber="262" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

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<pre style="margin: 0;">+<span id="LC262" class="line" lang="plaintext">------------------------------------------------------------------ :: ForAllCoTv</span>

</pre>

</td>

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<td class="diff-line-num new old_line" data-linenumber="264" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

</td>

<td class="diff-line-num new new_line" data-linenumber="263" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

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<pre style="margin: 0;">+<span id="LC263" class="line" lang="plaintext">G |-co forall alpha:h. g : (forall alpha_k1. t1) k3~R k4 (forall alpha_k2. (t2[alpha |-> alpha_k2 |> sym h]))</span>

</pre>

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<td class="diff-line-num new old_line" data-linenumber="264" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

</td>

<td class="diff-line-num new new_line" data-linenumber="264" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

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<pre style="margin: 0;">+<span id="LC264" class="line" lang="plaintext"></span>

</pre>

</td>

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<td class="diff-line-num new old_line" data-linenumber="264" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

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<td class="diff-line-num new new_line" data-linenumber="265" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

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<pre style="margin: 0;">+<span id="LC265" class="line" lang="plaintext">G |-co h : k1 *~Nom * k2</span>

</pre>

</td>

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<td class="diff-line-num new old_line" data-linenumber="264" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

</td>

<td class="diff-line-num new new_line" data-linenumber="266" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

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<pre style="margin: 0;">+<span id="LC266" class="line" lang="plaintext">G, x_k1 |-co g : t1 *~R * t2</span>

</pre>

</td>

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<td class="diff-line-num new old_line" data-linenumber="264" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

</td>

<td class="diff-line-num new new_line" data-linenumber="267" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

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<td class="line_content new" style="padding-left: 0.5em; padding-right: 0.5em;" bgcolor="#ecfdf0">

<pre style="margin: 0;">+<span id="LC267" class="line" lang="plaintext">R2 = coercionRole x_k1</span>

</pre>

</td>

</tr>

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<td class="diff-line-num new old_line" data-linenumber="264" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

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<td class="diff-line-num new new_line" data-linenumber="268" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

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<pre style="margin: 0;">+<span id="LC268" class="line" lang="plaintext">h' = downgradeRole R2 h</span>

</pre>

</td>

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<td class="diff-line-num new old_line" data-linenumber="264" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

</td>

<td class="diff-line-num new new_line" data-linenumber="269" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

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<pre style="margin: 0;">+<span id="LC269" class="line" lang="plaintext">h1 = nth R2 2 h'</span>

</pre>

</td>

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<td class="diff-line-num new old_line" data-linenumber="264" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

</td>

<td class="diff-line-num new new_line" data-linenumber="270" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">

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<pre style="margin: 0;">+<span id="LC270" class="line" lang="plaintext">h2 = nth R2 3 h'</span>

</pre>

</td>

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<pre style="margin: 0;">+<span id="LC271" class="line" lang="plaintext">almostDevoid x g</span>

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<pre style="margin: 0;">+<span id="LC272" class="line" lang="plaintext">------------------------------------------- :: ForAllCoCv</span>

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<pre style="margin: 0;">+<span id="LC273" class="line" lang="plaintext">G |-co forall x:h.g : (forall x_k1. t1) *~R * (forall x_k2. (t2[ x |-> h1 ; x_k2 ; sym h2 ]))</span>

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<pre style="margin: 0;"> <span id="LC274" class="line" lang="plaintext"></span>

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<pre style="margin: 0;"> <span id="LC275" class="line" lang="plaintext">z_phi elt G</span>

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<pre style="margin: 0;"> <span id="LC276" class="line" lang="plaintext">phi = t1 k1~#k2 t2</span>

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<br>

</li>

<li id="560a2a2363bd7c0d01f90fdb07e153565ada8556">

<a href="https://gitlab.haskell.org/ghc/ghc/commit/dd0ab8635f191408aab4acdf140696606c895fa0#560a2a2363bd7c0d01f90fdb07e153565ada8556"><strong>docs/core-spec/CoreSyn.ott</strong></a>

<hr>

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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="143" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="diff-line-num unfold js-unfold new_line" data-linenumber="143" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -143,6 +143,7 @@ g {{ tex \gamma }}, h {{ tex \eta }} :: 'Coercion_' ::= {{ com Coercions, \coder</td>

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<pre style="margin: 0;"> <span id="LC143" class="line" lang="plaintext">  | < t > R mg              ::   :: GRefl         {{ com \ctor{GRefl}: Generalized Reflexivity }}</span>

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<pre style="margin: 0;"> <span id="LC144" class="line" lang="plaintext">    {{ tex {\langle [[t]] \rangle}^{[[mg]]}_{[[R]]} }}</span>

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<pre style="margin: 0;"> <span id="LC145" class="line" lang="plaintext">  | T RA </ gi // i />      ::   :: TyConAppCo    {{ com \ctor{TyConAppCo}: Type constructor application }}</span>

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<pre style="margin: 0;">+<span id="LC146" class="line" lang="plaintext">  | g1 -> RA g2             ::   :: FunCo         {{ com \ctor{FunCo}: Functions }}</span>

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<pre style="margin: 0;"> <span id="LC147" class="line" lang="plaintext">  | g1 g2                   ::   :: AppCo         {{ com \ctor{AppCo}: Application }}</span>

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<pre style="margin: 0;"> <span id="LC148" class="line" lang="plaintext">  | forall z : h . g        ::   :: ForAllCo      {{ com \ctor{ForAllCo}: Polymorphism }}</span>

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<pre style="margin: 0;"> <span id="LC149" class="line" lang="plaintext">    {{ tex [[forall]] [[z]]{:}[[h]].[[g]] }}</span>

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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="162" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="diff-line-num unfold js-unfold new_line" data-linenumber="163" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -162,6 +163,7 @@ g {{ tex \gamma }}, h {{ tex \eta }} :: 'Coercion_' ::= {{ com Coercions, \coder</td>

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<pre style="margin: 0;"> <span id="LC163" class="line" lang="plaintext">  | sub g                   ::   :: SubCo         {{ com \ctor{SubCo}: Sub-role --- convert nominal to representational }}</span>

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<pre style="margin: 0;"> <span id="LC164" class="line" lang="plaintext">  | ( g )                   :: M :: Parens        {{ com Parentheses }}</span>

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<pre style="margin: 0;"> <span id="LC165" class="line" lang="plaintext">  | t $ liftingsubst        :: M :: Lifted        {{ com Type lifted to coercion }}</span>

</pre>

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<pre style="margin: 0;">+<span id="LC166" class="line" lang="plaintext">  | downgradeRole R g       :: M :: downgradeRole {{ com \textsf{downgradeRole} }}</span>

</pre>

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<pre style="margin: 0;"> <span id="LC167" class="line" lang="plaintext"></span>

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<pre style="margin: 0;"> <span id="LC168" class="line" lang="plaintext">prov :: 'UnivCoProvenance_' ::= {{ com \ctor{UnivCo} provenance, \coderef{types/TyCoRep.hs}{UnivCoProvenance} }}</span>

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<pre style="margin: 0;"> <span id="LC169" class="line" lang="plaintext">  | UnsafeCoerceProv   ::   :: UnsafeCoerceProv  {{ com From \texttt{unsafeCoerce\#} }}</span>

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<pre style="margin: 0;"> <span id="LC398" class="line" lang="plaintext">  | -->          ::   :: steps            {{ tex \longrightarrow }}</span>

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<pre style="margin: 0;"> <span id="LC399" class="line" lang="plaintext">  | coercionKind ::   :: coercionKind     {{ tex \textsf{coercionKind} }}</span>

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<pre style="margin: 0;"> <span id="LC400" class="line" lang="plaintext">  | coercionRole ::   :: coercionRole     {{ tex \textsf{coercionRole} }}</span>

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<pre style="margin: 0;">+<span id="LC401" class="line" lang="plaintext">  | downgradeRole ::  :: downgradeRole    {{ tex \textsf{downgradeRole} }}</span>

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<pre style="margin: 0;"> <span id="LC402" class="line" lang="plaintext">  | take         ::   :: take             {{ tex \textsf{take}\! }}</span>

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<pre style="margin: 0;"> <span id="LC403" class="line" lang="plaintext">  | coaxrProves  ::   :: coaxrProves      {{ tex \textsf{coaxrProves} }}</span>

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<pre style="margin: 0;">+<span id="LC404" class="line" lang="plaintext">  | almostDevoid ::   :: almostDevoid     {{ tex \textsf{almostDevoid} }}</span>

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<pre style="margin: 0;"> <span id="LC405" class="line" lang="plaintext">  | Just         ::   :: Just             {{ tex \textsf{Just} }}</span>

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<pre style="margin: 0;"> <span id="LC406" class="line" lang="plaintext">  | \\           ::   :: newline          {{ tex \\ }}</span>

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<pre style="margin: 0;"> <span id="LC407" class="line" lang="plaintext">  | classifiesTypeWithValues :: :: ctwv   {{ tex \textsf{classifiesTypeWithValues} }}</span>

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<pre style="margin: 0;"> <span id="LC487" class="line" lang="plaintext">  | z elt vars                         ::   :: in_vars</span>

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<pre style="margin: 0;"> <span id="LC488" class="line" lang="plaintext">  | split _ I s = types                ::   :: split_type</span>

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<pre style="margin: 0;"> <span id="LC489" class="line" lang="plaintext">    {{ tex \mathop{\textsf{split} }_{[[I]]} [[s]] = [[types]] }}</span>

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<pre style="margin: 0;">+<span id="LC490" class="line" lang="plaintext">  | almostDevoid x g                   ::   :: almostDevoid</span>

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<pre style="margin: 0;"> <span id="LC491" class="line" lang="plaintext"></span>

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<pre style="margin: 0;"> <span id="LC492" class="line" lang="plaintext">%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%</span>

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<pre style="margin: 0;"> <span id="LC493" class="line" lang="plaintext">%%  Subrules and Parsing  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%</span>

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</li>

<li id="7dc5395d86b92c5a2b05aa2e9c13c1635f051da8">

<a href="https://gitlab.haskell.org/ghc/ghc/commit/dd0ab8635f191408aab4acdf140696606c895fa0#7dc5395d86b92c5a2b05aa2e9c13c1635f051da8"><strong>docs/core-spec/core-spec.mng</strong></a>

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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -106,10 +106,10 @@ There are a few key invariants about expressions:</td>

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<pre style="margin: 0;"> <span id="LC106" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> The right-hand sides of all top-level and recursive <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">let</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>s</span>

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<pre style="margin: 0;"> <span id="LC107" class="line" lang="tex">must be of lifted type, with one exception: the right-hand side of a top-level</span>

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<pre style="margin: 0;"> <span id="LC108" class="line" lang="tex"><span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">let</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> may be of type <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>Addr<span class="k" style="font-weight: 600;">\#</span><span class="p">}</span> if it's a primitive string literal.</span>

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<pre style="margin: 0;">-<span id="LC109" class="line" lang="tex">See <span class="nb" style="color: #0086b3;">\verb</span><span class="kp" style="font-weight: 600;">|</span><span class="sx" style="color: #d14;">#top_level_invariant#</span><span class="kp" style="font-weight: 600;">|</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">coreSyn/CoreSyn.hs</span><span class="p">}</span>.</span>

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<pre style="margin: 0;">+<span id="LC109" class="line" lang="tex">See <span class="nb" style="color: #0086b3;">\verb</span><span class="kp" style="font-weight: 600;">|</span><span class="sx" style="color: #d14;">#top_level_invariant#</span><span class="kp" style="font-weight: 600;">|</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">GHC.Core</span><span class="p">}</span>.</span>

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<pre style="margin: 0;"> <span id="LC110" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> The right-hand side of a non-recursive <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">let</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> and the argument</span>

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<pre style="margin: 0;"> <span id="LC111" class="line" lang="tex">of an application may be of unlifted type, but only if the expression</span>

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<pre style="margin: 0;">-<span id="LC112" class="line" lang="tex">is ok-for-speculation. See <span class="nb" style="color: #0086b3;">\verb</span><span class="kp" style="font-weight: 600;">|</span><span class="sx" style="color: #d14;">#let_app_invariant#</span><span class="kp" style="font-weight: 600;">|</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">coreSyn/CoreSyn.hs</span><span class="p">}</span>.</span>

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<pre style="margin: 0;">+<span id="LC112" class="line" lang="tex">is ok-for-speculation. See <span class="nb" style="color: #0086b3;">\verb</span><span class="kp" style="font-weight: 600;">|</span><span class="sx" style="color: #d14;">#let_app_invariant#</span><span class="kp" style="font-weight: 600;">|</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">GHC.Core</span><span class="p">}</span>.</span>

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<pre style="margin: 0;"> <span id="LC113" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> We allow a non-recursive <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">let</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> for bind a type variable.</span>

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<pre style="margin: 0;"> <span id="LC114" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> The <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="p">_</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> case for a <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">case</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> must come first.</span>

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<pre style="margin: 0;"> <span id="LC115" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> The list of case alternatives must be exhaustive.</span>

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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -119,7 +119,7 @@ In other words, the payload inside of a \texttt{Type} constructor must not turn</td>

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<pre style="margin: 0;"> <span id="LC119" class="line" lang="tex">to be built with <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>CoercionTy<span class="p">}</span>.</span>

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<pre style="margin: 0;"> <span id="LC120" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> Join points (introduced by <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">join</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> expressions) follow the invariants</span>

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<pre style="margin: 0;"> <span id="LC121" class="line" lang="tex">laid out in <span class="nb" style="color: #0086b3;">\verb</span><span class="kp" style="font-weight: 600;">|</span><span class="sx" style="color: #d14;">Note [Invariants on join points]</span><span class="kp" style="font-weight: 600;">|</span> in</span>

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<pre style="margin: 0;">-<span id="LC122" class="line" lang="tex"><span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">coreSyn/CoreSyn.hs</span><span class="p">}</span>:</span>

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<pre style="margin: 0;">+<span id="LC122" class="line" lang="tex"><span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">GHC.Core</span><span class="p">}</span>:</span>

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<pre style="margin: 0;"> <span id="LC123" class="line" lang="tex"><span class="nt" style="color: #000080;">\begin{enumerate}</span></span>

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<pre style="margin: 0;"> <span id="LC124" class="line" lang="tex">    <span class="k" style="font-weight: 600;">\item</span> All occurrences must be tail calls. This is enforced in our typing</span>

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<pre style="margin: 0;"> <span id="LC125" class="line" lang="tex">    rules using the label environment <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">D</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>.</span>

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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -170,9 +170,9 @@ A program is just a list of bindings:</td>

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<pre style="margin: 0;"> <span id="LC170" class="line" lang="tex"><span class="k" style="font-weight: 600;">\gram</span><span class="p">{</span><span class="k" style="font-weight: 600;">\ottt</span><span class="p">}</span></span>

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<pre style="margin: 0;"> <span id="LC171" class="line" lang="tex"></span>

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<pre style="margin: 0;"> <span id="LC172" class="line" lang="tex"><span class="k" style="font-weight: 600;">\ctor</span><span class="p">{</span>FunTy<span class="p">}</span> is the special case for non-dependent function type. The</span>

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<pre style="margin: 0;">-<span id="LC173" class="line" lang="tex"><span class="k" style="font-weight: 600;">\ctor</span><span class="p">{</span>TyBinder<span class="p">}</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">types/TyCoRep.hs</span><span class="p">}</span> distinguishes whether a binder is</span>

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<pre style="margin: 0;">+<span id="LC173" class="line" lang="tex"><span class="k" style="font-weight: 600;">\ctor</span><span class="p">{</span>TyBinder<span class="p">}</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">GHC.Core.TyCo.Rep</span><span class="p">}</span> distinguishes whether a binder is</span>

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<pre style="margin: 0;"> <span id="LC174" class="line" lang="tex">anonymous (<span class="k" style="font-weight: 600;">\ctor</span><span class="p">{</span>FunTy<span class="p">}</span>) or named (<span class="k" style="font-weight: 600;">\ctor</span><span class="p">{</span>ForAllTy<span class="p">}</span>). See</span>

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<pre style="margin: 0;">-<span id="LC175" class="line" lang="tex"><span class="nb" style="color: #0086b3;">\verb</span><span class="kp" style="font-weight: 600;">|</span><span class="sx" style="color: #d14;">Note [TyBinders]</span><span class="kp" style="font-weight: 600;">|</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">types/TyCoRep.hs</span><span class="p">}</span>.</span>

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<pre style="margin: 0;">+<span id="LC175" class="line" lang="tex"><span class="nb" style="color: #0086b3;">\verb</span><span class="kp" style="font-weight: 600;">|</span><span class="sx" style="color: #d14;">Note [TyBinders]</span><span class="kp" style="font-weight: 600;">|</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">GHC.Core.TyCo.Rep</span><span class="p">}</span>.</span>

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<pre style="margin: 0;"> <span id="LC176" class="line" lang="tex"></span>

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<pre style="margin: 0;"> <span id="LC177" class="line" lang="tex">There are some invariants on types:</span>

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<pre style="margin: 0;"> <span id="LC178" class="line" lang="tex"><span class="nt" style="color: #000080;">\begin{itemize}</span></span>

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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -191,7 +191,7 @@ a term-level literal, but we are ignoring this distinction here.</td>

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<pre style="margin: 0;"> <span id="LC191" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> If <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">forall n. t</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> is a polymorphic type over a coercion variable (i.e.</span>

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<pre style="margin: 0;"> <span id="LC192" class="line" lang="tex">  <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">n</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> is a coercion variable), then <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">n</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> must appear in <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">t</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>;</span>

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<pre style="margin: 0;"> <span id="LC193" class="line" lang="tex">  otherwise it should be represented as a <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>FunTy<span class="p">}</span>. See <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>Note</span>

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<pre style="margin: 0;">-<span id="LC194" class="line" lang="tex">    [Unused coercion variable in ForAllTy]<span class="p">}</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">types/TyCoRep.hs</span><span class="p">}</span>.</span>

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<pre style="margin: 0;">+<span id="LC194" class="line" lang="tex">    [Unused coercion variable in ForAllTy]<span class="p">}</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">GHC.Core.TyCo.Rep</span><span class="p">}</span>.</span>

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<pre style="margin: 0;"> <span id="LC195" class="line" lang="tex"><span class="nt" style="color: #000080;">\end{itemize}</span></span>

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<pre style="margin: 0;"> <span id="LC196" class="line" lang="tex"></span>

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<pre style="margin: 0;"> <span id="LC197" class="line" lang="tex">Note that the use of the <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">T <</span><span class="o" style="font-weight: 600;">/</span><span class="nb" style="color: #0086b3;"> ti </span><span class="o" style="font-weight: 600;">//</span><span class="nb" style="color: #0086b3;"> i </span><span class="o" style="font-weight: 600;">/</span><span class="nb" style="color: #0086b3;">></span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> form and the <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">t</span><span class="m" style="color: #099;">1</span><span class="nb" style="color: #0086b3;"> </span><span class="o" style="font-weight: 600;">-</span><span class="nb" style="color: #0086b3;">> t</span><span class="m" style="color: #099;">2</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> form</span>

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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -216,14 +216,15 @@ Invariants on coercions:</td>

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<pre style="margin: 0;"> <span id="LC216" class="line" lang="tex">reflexive, use <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">T</span><span class="p">_</span><span class="nb" style="color: #0086b3;">R <</span><span class="o" style="font-weight: 600;">/</span><span class="nb" style="color: #0086b3;"> gi </span><span class="o" style="font-weight: 600;">//</span><span class="nb" style="color: #0086b3;"> i </span><span class="o" style="font-weight: 600;">/</span><span class="nb" style="color: #0086b3;">></span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>, never <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;"><T> g</span><span class="m" style="color: #099;">1</span><span class="nb" style="color: #0086b3;"> g</span><span class="m" style="color: #099;">2</span><span class="o" style="font-weight: 600;">]]</span><span class="nb" style="color: #0086b3;"> </span><span class="nv" style="color: #008080;">\ldots</span><span class="p">$</span>.</span>

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<pre style="margin: 0;"> <span id="LC217" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> The <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">T</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> in <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">T</span><span class="p">_</span><span class="nb" style="color: #0086b3;">R <</span><span class="o" style="font-weight: 600;">/</span><span class="nb" style="color: #0086b3;">gi</span><span class="o" style="font-weight: 600;">//</span><span class="nb" style="color: #0086b3;">i</span><span class="o" style="font-weight: 600;">/</span><span class="nb" style="color: #0086b3;">></span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> is never a type synonym, though it could</span>

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<pre style="margin: 0;"> <span id="LC218" class="line" lang="tex">be a type function.</span>

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<pre style="margin: 0;">-<span id="LC219" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> Every non-reflexive coercion coerces between two distinct types.</span>

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<pre style="margin: 0;"> <span id="LC219" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> The name in a coercion must be a term-level name (<span class="k" style="font-weight: 600;">\ctor</span><span class="p">{</span>Id<span class="p">}</span>).</span>

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<pre style="margin: 0;"> <span id="LC220" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> The contents of <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;"><t></span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> must not be a coercion. In other words,</span>

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<pre style="margin: 0;"> <span id="LC221" class="line" lang="tex">the payload in a <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>Refl<span class="p">}</span> must not be built with <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>CoercionTy<span class="p">}</span>.</span>

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<pre style="margin: 0;"> <span id="LC222" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> If <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">forall z: h .g</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> is a polymorphic coercion over a coercion variable</span>

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<pre style="margin: 0;"> <span id="LC223" class="line" lang="tex">  (i.e. <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">z</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> is a coercion variable), then <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">z</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> can only appear in</span>

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<pre style="margin: 0;">-<span id="LC225" class="line" lang="tex">  <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>Refl<span class="p">}</span> and <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>GRefl<span class="p">}</span> in <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">g</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>. See <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>Note[Unused coercion</span>

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<pre style="margin: 0;">-<span id="LC226" class="line" lang="tex">    variable in ForAllCo] in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span>types/Coercion.hs<span class="p">}}</span>.</span>

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<pre style="margin: 0;">+<span id="LC224" class="line" lang="tex">  <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>Refl<span class="p">}</span> and <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>GRefl<span class="p">}</span> in <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">g</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>. See <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>Note [Unused coercion</span>

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<pre style="margin: 0;">+<span id="LC225" class="line" lang="tex">    variable in ForAllCo] in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span>GHC.Core.Coercion<span class="p">}}</span>.</span>

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<pre style="margin: 0;">+<span id="LC226" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> Prefer <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">g</span><span class="m" style="color: #099;">1</span><span class="nb" style="color: #0086b3;"> </span><span class="o" style="font-weight: 600;">-</span><span class="nb" style="color: #0086b3;">></span><span class="p">_</span><span class="nb" style="color: #0086b3;">R g</span><span class="m" style="color: #099;">2</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> over <span class="p">$</span><span class="o" style="font-weight: 600;">[[(-</span><span class="nb" style="color: #0086b3;">></span><span class="o" style="font-weight: 600;">)</span><span class="p">_</span><span class="nb" style="color: #0086b3;">R g</span><span class="m" style="color: #099;">1</span><span class="nb" style="color: #0086b3;"> g</span><span class="m" style="color: #099;">2</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>; that is, we use <span class="k" style="font-weight: 600;">\ctor</span><span class="p">{</span>FunCo<span class="p">}</span>,</span>

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<pre style="margin: 0;">+<span id="LC227" class="line" lang="tex">never <span class="k" style="font-weight: 600;">\ctor</span><span class="p">{</span>TyConAppCo<span class="p">}</span>, for coercions over saturated uses of <span class="p">$</span><span class="o" style="font-weight: 600;">[[-</span><span class="nb" style="color: #0086b3;">></span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>.</span>

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<pre style="margin: 0;"> <span id="LC228" class="line" lang="tex"><span class="nt" style="color: #000080;">\end{itemize}</span></span>

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<pre style="margin: 0;"> <span id="LC229" class="line" lang="tex"></span>

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<pre style="margin: 0;"> <span id="LC230" class="line" lang="tex">The <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>UnivCo<span class="p">}</span> constructor takes several arguments: the two types coerced</span>

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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -327,7 +328,7 @@ synonym for $[[TYPE 'Unlifted]]$.</td>

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<pre style="margin: 0;"> <span id="LC328" class="line" lang="tex"></span>

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<pre style="margin: 0;"> <span id="LC329" class="line" lang="tex"><span class="k" style="font-weight: 600;">\section</span><span class="p">{</span>Contexts<span class="p">}</span></span>

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<pre style="margin: 0;"> <span id="LC330" class="line" lang="tex"></span>

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<pre style="margin: 0;">-<span id="LC330" class="line" lang="tex">The functions in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">coreSyn/CoreLint.hs</span><span class="p">}</span> use the <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>LintM<span class="p">}</span> monad.</span>

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<pre style="margin: 0;">+<span id="LC331" class="line" lang="tex">The functions in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">GHC.Core.Lint</span><span class="p">}</span> use the <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>LintM<span class="p">}</span> monad.</span>

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<pre style="margin: 0;"> <span id="LC332" class="line" lang="tex">This monad contains a context with a set of bound variables <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">G</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> and a set</span>

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<pre style="margin: 0;"> <span id="LC333" class="line" lang="tex">of bound labels <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">D</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>. The formalism treats <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">G</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> and <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">D</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> as ordered</span>

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<pre style="margin: 0;"> <span id="LC334" class="line" lang="tex">lists, but GHC uses sets as its</span>

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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -451,6 +452,19 @@ and \ottdrulename{Co\_CoVarCoRepr}.</td>

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<pre style="margin: 0;"> <span id="LC452" class="line" lang="tex">See Section~<span class="k" style="font-weight: 600;">\ref</span><span class="p">{</span>sec:tyconroles<span class="p">}</span> for more information about <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">tyConRolesX</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>, and</span>

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<pre style="margin: 0;"> <span id="LC453" class="line" lang="tex">see Section~<span class="k" style="font-weight: 600;">\ref</span><span class="p">{</span>sec:axiom<span class="p">_</span>rules<span class="p">}</span> for more information about <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">coaxrProves</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>.</span>

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<pre style="margin: 0;"> <span id="LC454" class="line" lang="tex"></span>

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<pre style="margin: 0;">+<span id="LC455" class="line" lang="tex">The <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">downgradeRole R g</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> function returns a new coercion that relates the same</span>

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<pre style="margin: 0;">+<span id="LC456" class="line" lang="tex">types as <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">g</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> but with role <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">R</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>. It assumes that the role of <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">g</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> is a</span>

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<pre style="margin: 0;">+<span id="LC457" class="line" lang="tex">sub-role (<span class="p">$</span><span class="nv" style="color: #008080;">\leq</span><span class="p">$</span>) of <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">R</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>.</span>

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<pre style="margin: 0;">+<span id="LC458" class="line" lang="tex"></span>

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<pre style="margin: 0;">+<span id="LC459" class="line" lang="tex">The <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">almostDevoid x g</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> function makes sure that, if <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">x</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> appears at all</span>

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<pre style="margin: 0;">+<span id="LC460" class="line" lang="tex">in <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">g</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>, it appears only within a <span class="k" style="font-weight: 600;">\ctor</span><span class="p">{</span>Refl<span class="p">}</span> or <span class="k" style="font-weight: 600;">\ctor</span><span class="p">{</span>GRefl<span class="p">}</span> node. See</span>

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<pre style="margin: 0;">+<span id="LC461" class="line" lang="tex">Section 5.8.5.2 of Richard Eisenberg's thesis for the details, or the ICFP'17</span>

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<pre style="margin: 0;">+<span id="LC462" class="line" lang="tex">paper ``A Specification for Dependently-Typed Haskell''. (Richard's thesis</span>

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<pre style="margin: 0;">+<span id="LC463" class="line" lang="tex">uses a technical treatment of this idea that's very close to GHC's implementation.</span>

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<pre style="margin: 0;">+<span id="LC464" class="line" lang="tex">The ICFP'17 paper approaches the same restriction in a different way, by using</span>

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<pre style="margin: 0;">+<span id="LC465" class="line" lang="tex"><span class="k" style="font-weight: 600;">\emph</span><span class="p">{</span>available sets<span class="p">}</span> <span class="p">$</span><span class="nv" style="color: #008080;">\Delta</span><span class="p">$</span>, as explained in Section 4.2 of that paper.</span>

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<pre style="margin: 0;">+<span id="LC466" class="line" lang="tex">We believe both technical approaches are equivalent in what coercions they accept.)</span>

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<pre style="margin: 0;">+<span id="LC467" class="line" lang="tex"></span>

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<pre style="margin: 0;"> <span id="LC468" class="line" lang="tex"><span class="k" style="font-weight: 600;">\subsection</span><span class="p">{</span>Name consistency<span class="p">}</span></span>

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<pre style="margin: 0;"> <span id="LC469" class="line" lang="tex"><span class="k" style="font-weight: 600;">\label</span><span class="p">{</span>sec:name<span class="p">_</span>consistency<span class="p">}</span></span>

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<pre style="margin: 0;"> <span id="LC470" class="line" lang="tex"></span>

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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="463" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="diff-line-num unfold js-unfold new_line" data-linenumber="477" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>

<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -463,7 +477,7 @@ There are three very similar checks for names, two performed as part of</td>

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<pre style="margin: 0;"> <span id="LC477" class="line" lang="tex"></span>

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<pre style="margin: 0;"> <span id="LC478" class="line" lang="tex">The point of the extra checks on <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">t'</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> is that a join point's type cannot be</span>

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<pre style="margin: 0;"> <span id="LC479" class="line" lang="tex">polymorphic in its return type; see <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>Note [The polymorphism rule of join</span>

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<pre style="margin: 0;">-<span id="LC466" class="line" lang="tex">points]<span class="p">}</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">coreSyn/CoreSyn.hs</span><span class="p">}</span>.</span>

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<pre style="margin: 0;">+<span id="LC480" class="line" lang="tex">points]<span class="p">}</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">GHC.Core</span><span class="p">}</span>.</span>

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<pre style="margin: 0;"> <span id="LC481" class="line" lang="tex"></span>

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<pre style="margin: 0;"> <span id="LC482" class="line" lang="tex"><span class="k" style="font-weight: 600;">\ottdefnlintBinder</span><span class="p">{}</span></span>

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<pre style="margin: 0;"> <span id="LC483" class="line" lang="tex"></span>

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