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963f522b
Verified
Commit
963f522b
authored
Jan 14, 2019
by
Tej Chajed
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Copyedit the proof mode documentation
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ProofMode.md
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963f522b
...
...
@@ 3,9 +3,9 @@ Tactic overview
Many of the tactics below apply to more goals than described in this document
since the behavior of these tactics can be tuned via instances of the type
classes in the file
[
proofmode/classes
](
proofmode/classes.v
)
. Most notabl
e
, many
of the tactics can be applied when the to be introduced or to be eliminated
connective
appears under a later, an update modality, or in the conclusion of a
classes in the file
[
proofmode/classes
](
proofmode/classes.v
)
. Most notabl
y
, many
of the tactics can be applied when the
connective
to be introduced or to be eliminated
appears under a later, an update modality, or in the conclusion of a
weakest precondition.
Applying hypotheses and lemmas
...
...
@@ 92,7 +92,7 @@ Elimination of logical connectives
used for proving the premises of
`pm_trm`
, as well as for proving the
resulting goal.
Separati
ng logic
specific tactics
Separati
on logic
specific tactics


`iFrame (t1 .. tn) "selpat"`
: cancel the Coq terms (or Coq hypotheses)
...
...
@@ 106,10 +106,10 @@ Separating logic specific tactics
Notice that framing spatial hypotheses makes them disappear, but framing Coq
or intuitionistic hypotheses does not make them disappear.
This tactic
finishes the goal in case
everything in the conclusion has been
This tactic
solves the goal if
everything in the conclusion has been
framed.

`iCombine "H1" "H2" as "pat"`
:
turn
s
`H1 : P1`
and
`H2 : P2`
into
`
P1 ∗ P2`
, on which
`iDetruct ... as pat`
is called
.

`iCombine "H1" "H2" as "pat"`
:
combine
s
`H1 : P1`
and
`H2 : P2`
into
`
H: P1 ∗ P2`
, then calls
`iDestruct H as pat`
on the combined hypothesis
.
Modalities

...
...
@@ 322,12 +322,12 @@ The syntax for the arguments of these tactics, called _proof mode terms_, is:
(H $! t1 ... tn with "spat1 .. spatn")
Here,
`H`
can be
both a hypothesis, as well as
a Coq lemma whose conclusion is
Here,
`H`
can be
either a hypothesis or
a Coq lemma whose conclusion is
of the shape
`P ⊢ Q`
. In the above,
`t1 ... tn`
are arbitrary Coq terms used
for instantiation of universal quantifiers, and
`spat1 .. spatn`
are
specialization patterns to eliminate implications and wands.
Proof mode terms can be written down using the following short
hands
too:
Proof mode terms can be written down using the following short
hand syntaxes,
too:
(H with "spat1 .. spatn")
(H $! t1 ... tn)
...
...
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