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86b184af
Commit
86b184af
authored
Oct 07, 2016
by
Ralf Jung
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docs: strengthen equality elimination to match what we have in Coq
parent
7a2b2c6a
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docs/base-logic.tex
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docs/base-logic.tex
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86b184af
...
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@@ -208,8 +208,8 @@ This is entirely standard.
{
\prop
\proves
\propC
}
\and
\infer
[Eq]
{
\
prop
\proves
\propB
\\
\prop
\proves
\term
=
_
\type
\term
'
}
{
\prop
\proves
\propB
[\term'/\
term
]
}
{
\
vctx
,
\var
:
\type
\proves
\wtt\propB\Prop
\\
\vctx\mid\prop
\proves
\propB
[\term/\var]
\\
\vctx\mid
\prop
\proves
\term
=
_
\type
\term
'
}
{
\
vctx\mid\
prop
\proves
\propB
[\term'/\
var
]
}
\and
\infer
[Refl]
{}
...
...
@@ -264,7 +264,7 @@ This is entirely standard.
{
\vctx\mid\prop
\proves
\All
\var
:
\type
.
\propB
\\
\vctx
\proves
\wtt\term\type
}
{
\vctx\mid\prop
\proves
\propB
[\term/\var]
}
\
and
\
\
\infer
[$\exists$I]
{
\vctx\mid\prop
\proves
\propB
[\term/\var]
\\
\vctx
\proves
\wtt\term\type
}
...
...
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