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Simon Spies
Iris
Commits
aa81760b
Commit
aa81760b
authored
Jul 13, 2016
by
Robbert Krebbers
Browse files
Update proof mode docs w.r.t. new syntax.
parent
57b84b20
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ProofMode.md
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aa81760b
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@@ 13,12 +13,12 @@ Applying hypotheses and lemmas
Context management


`iIntros
{
x1 ... xn
}
"ipat1 ... ipatn"`
: introduce universal quantifiers

`iIntros
(
x1 ... xn
)
"ipat1 ... ipatn"`
: introduce universal quantifiers
using Coq introduction patterns
`x1 ... xn`
and implications/wands using proof
mode introduction patterns
`ipat1 ... ipatn`
.

`iClear "H1 ... Hn"`
: clear the hypothesis
`H1 ... Hn`
. The symbol
`★`
can
be used to clear entire spatial context.

`iRevert
{
x1 ... xn
}
"H1 ... Hn"`
: revert the proof mode hypotheses
be used to clear entire spatial context.

`iRevert
(
x1 ... xn
)
"H1 ... Hn"`
: revert the proof mode hypotheses
`H1 ... Hn`
into wands, as well as the Coq level hypotheses/variables
`x1 ... xn`
into universal quantifiers. The symbol
`★`
can be used to revert
the entire spatial context.
...
...
@@ 52,12 +52,12 @@ Elimination of logical connectives


`iExFalso`
: Ex falso sequitur quod libet.

`iDestruct trm as
{
x1 ... xn
}
"spat1 ... spatn"`
: elimination of existential

`iDestruct trm as
(
x1 ... xn
)
"spat1 ... spatn"`
: elimination of existential
quantifiers using Coq introduction patterns
`x1 ... xn`
and elimination of
object level connectives using the proof mode introduction patterns
`ipat1 ... ipatn`
.

`iDestruct trm as %cpat : elimination of a pure hypothesis using the Coq
introduction pattern `
cpat
`.

`iDestruct trm as %cpat
`
: elimination of a pure hypothesis using the Coq
introduction pattern
`cpat`
.
Separating logic specific tactics

...
...
@@ 69,7 +69,7 @@ Separating logic specific tactics
The later modality


`iNext`
: introduce a later by stripping laters from all hypotheses.
 `
iLöb
{
x1 ... xn
}
as "IH"
` : perform Löb induction by generalizing over the

`iLöb
(
x1 ... xn
)
as "IH"`
: perform Löb induction by generalizing over the
Coq level variables
`x1 ... xn`
and the entire spatial context.
Rewriting
...
...
@@ 83,12 +83,12 @@ Iris

`iPvsIntro`
: introduction of a primitive view shift. Generates a goal if
the masks are not syntactically equal.
 `
iPvs trm as
{
x1 ... xn
}
"ipat"
` : runs a primitive view shift `
trm
`.
 `
iInv N as
{
x1 ... xn
}
"ipat"
` : open the invariant `
N
`.
 `
iInv> N as
{
x1 ... xn
}
"ipat"
` : open the invariant `
N
` and establish that

`iPvs trm as
(
x1 ... xn
)
"ipat"`
: runs a primitive view shift
`trm`
.

`iInv N as
(
x1 ... xn
)
"ipat"`
: open the invariant
`N`
.

`iInv> N as
(
x1 ... xn
)
"ipat"`
: open the invariant
`N`
and establish that
it is timeless so no laters have to be added.

`iTimeless "H"`
: strip a later of a timeless hypotheses
`H`
in case the
conclusion is a primitive view shifts or weakest precondition.
conclusion is a primitive view shifts or weakest precondition.
Miscellaneous

...
...
@@ 135,7 +135,7 @@ For example, given:
You can write
iIntros
{x}
"% ! $ [[]  #[HQ HR]] /= >".
iIntros
(x)
"% ! $ [[]  #[HQ HR]] /= >".
which results in:
...
...
@@ 162,8 +162,8 @@ so called specification patterns to express this splitting:
all persistent hypotheses. The hypotheses
`H1 ... Hn`
will be consumed.

`[H1 ... Hn]`
: negated form of the above pattern

`=>[H1 ... Hn]`
: same as the above pattern, but can only be used if the goal
is a primitive view shift, in which case the view shift will be kept in the
goal of the premise too.
is a primitive view shift, in which case the view shift will be kept in the
goal of the premise too.

`[#]`
: This pattern can be used when eliminating
`P ★ Q`
when either
`P`
or
`Q`
is persistent. In this case, all hypotheses are available in the goal for
the premise as none will be consumed.
...
...
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