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86de92cf
Commit
86de92cf
authored
Sep 09, 2016
by
Robbert Krebbers
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Elimination of pure facts using Coq introduction patterns for iAssert.
parent
d6dc89b4
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14 additions
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4
ProofMode.md
ProofMode.md
+3
1
proofmode/tactics.v
proofmode/tactics.v
+11
3
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ProofMode.md
View file @
86de92cf
...
...
@@ 40,8 +40,10 @@ Context management
`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 t
he
`spat`
specifies which hypotheses will be consumed by proving
`P`
. T
he
introduction pattern
`ipat`
specifies how to eliminate
`P`
.

`iAssert P with "spat" as %cpat`
: assert
`P`
and eliminate it using the Coq
introduction pattern
`cpat`
.
Introduction of logical connectives

...
...
proofmode/tactics.v
View file @
86de92cf
...
...
@@ 833,7 +833,7 @@ Tactic Notation "iLöb" "(" ident(x1) ident(x2) ident(x3) ident(x4)
ltac
:
(
iIntros
(
x1
x2
x3
x4
x5
x6
x7
x8
)).
(** * Assert *)
Tactic
Notation
"iAssert
"
open_constr
(
Q
)
"with"
constr
(
Hs
)
"as"
constr
(
pat
)
:
=
Tactic
Notation
"iAssert
Core"
open_constr
(
Q
)
"with"
constr
(
Hs
)
"as"
tactic
(
tac
)
:
=
let
H
:
=
iFresh
in
let
Hs
:
=
spec_pat
.
parse
Hs
in
lazymatch
Hs
with
...
...
@@ 842,7 +842,7 @@ Tactic Notation "iAssert" open_constr(Q) "with" constr(Hs) "as" constr(pat) :=
[
env_cbv
;
reflexivity

(*goal*)

apply
_

fail
"iAssert:"
Q
"not persistent"

iDestructHyp
H
as
pat
]

tac
H
]

[
SGoal
?k
?lr
?Hs
]
=>
eapply
tac_assert
with
_
_
_
lr
Hs
H
Q
_;
(* (js:=Hs) (j:=H) (P:=Q) *)
[
match
k
with
...
...
@@ 851,13 +851,21 @@ Tactic Notation "iAssert" open_constr(Q) "with" constr(Hs) "as" constr(pat) :=
end

env_cbv
;
reflexivity

fail
"iAssert:"
Hs
"not found"

env_cbv
;
reflexivity


iDestructHyp
H
as
pat
]

tac
H
]

?pat
=>
fail
"iAssert: invalid pattern"
pat
end
.
Tactic
Notation
"iAssert"
open_constr
(
Q
)
"with"
constr
(
Hs
)
"as"
constr
(
pat
)
:
=
iAssertCore
Q
with
Hs
as
(
fun
H
=>
iDestructHyp
H
as
pat
).
Tactic
Notation
"iAssert"
open_constr
(
Q
)
"as"
constr
(
pat
)
:
=
iAssert
Q
with
"[]"
as
pat
.
Tactic
Notation
"iAssert"
open_constr
(
Q
)
"with"
constr
(
Hs
)
"as"
"%"
simple_intropattern
(
pat
)
:
=
iAssertCore
Q
with
Hs
as
(
fun
H
=>
iPure
H
as
pat
).
Tactic
Notation
"iAssert"
open_constr
(
Q
)
"as"
"%"
simple_intropattern
(
pat
)
:
=
iAssert
Q
with
"[]"
as
%
pat
.
(** * Rewrite *)
Local
Ltac
iRewriteFindPred
:
=
match
goal
with
...
...
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