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PierreMarie Pédrot
Iris
Commits
07dbe5ed
Commit
07dbe5ed
authored
Aug 01, 2016
by
Robbert Krebbers
Browse files
Rename trm → pm_trm in proof mode documentation.
This makes clear that we do not range over Coq terms.
parent
44dd5fae
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ProofMode.md
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07dbe5ed
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@@ 6,8 +6,8 @@ Applying hypotheses and lemmas

`iExact "H"`
: finish the goal if the conclusion matches the hypothesis
`H`

`iAssumption`
: finish the goal if the conclusion matches any hypothesis

`iApply trm`
: match the conclusion of the current goal against the
conclusion of
`trm`
and generates goals for the premises of
`trm`
. See

`iApply
pm_
trm`
: match the conclusion of the current goal against the
conclusion of
`
pm_
trm`
and generates goals for the premises of
`
pm_
trm`
. See
proof mode terms below.
Context management
...
...
@@ 23,9 +23,10 @@ Context management
`x1 ... xn`
into universal quantifiers. The symbol
`★`
can be used to revert
the entire spatial context.

`iRename "H1" into "H2"`
: rename the hypothesis
`H1`
into
`H2`
.

`iSpecialize trm`
: instantiate universal quantifiers and eliminate
implications/wands of a hypothesis
`trm`
. See proof mode terms below.

`iPoseProof trm as "H"`
: put
`trm`
into the context as a new hypothesis
`H`
.

`iSpecialize pm_trm`
: instantiate universal quantifiers and eliminate
implications/wands of a hypothesis
`pm_trm`
. See proof mode terms below.

`iPoseProof pm_trm as "H"`
: put
`pm_trm`
into the context as a new hypothesis
`H`
.

`iAssert P with "spat" as "ipat"`
: create a new goal with conclusion
`P`
and
put
`P`
in the context of the original goal. The specialization pattern
`spat`
specifies which hypotheses will be consumed by proving
`P`
and the
...
...
@@ 52,11 +53,11 @@ Elimination of logical connectives


`iExFalso`
: Ex falso sequitur quod libet.

`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

`iDestruct
pm_
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
pm_
trm as %cpat`
: elimination of a pure hypothesis using the Coq
introduction pattern
`cpat`
.
Separating logic specific tactics
...
...
@@ 75,15 +76,15 @@ The later modality
Rewriting


`iRewrite trm`
: rewrite an equality in the conclusion.

`iRewrite trm in "H"`
: rewrite an equality in the hypothesis
`H`
.

`iRewrite
pm_
trm`
: rewrite an equality in the conclusion.

`iRewrite
pm_
trm in "H"`
: rewrite an equality in the hypothesis
`H`
.
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`
.

`iPvs
pm_
trm as (x1 ... xn) "ipat"`
: runs a primitive view shift
`
pm_
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.
...
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@@ 186,7 +187,7 @@ Many of the proof mode tactics (such as `iDestruct`, `iApply`, `iRewrite`) can
take both hypotheses and lemmas, and allow one to instantiate universal
quantifiers and implications/wands of these hypotheses/lemmas on the fly.
The syntax for the arguments, called _proof mode terms_,
of these tactics
is:
The syntax for the arguments
of these tactics
, called _proof mode terms_, is:
(H $! t1 ... tn with "spat1 .. spatn")
...
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