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a7fe86a3
Commit
a7fe86a3
authored
May 01, 2019
by
Dan Frumin
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Make the argument to `iEval` a selection pattern.
parent
46151cd2
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4 changed files
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68 additions
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46 deletions
+68
46
ProofMode.md
ProofMode.md
+13
11
tests/proofmode.ref
tests/proofmode.ref
+11
0
tests/proofmode.v
tests/proofmode.v
+5
0
theories/proofmode/ltac_tactics.v
theories/proofmode/ltac_tactics.v
+39
35
No files found.
ProofMode.md
View file @
a7fe86a3
...
...
@@ 152,17 +152,19 @@ Rewriting / simplification
equality in the proof mode goal / hypothesis
`H`
.

`iRewrite pm_trm`
/
`iRewrite pm_trm in "H"`
: rewrite in reverse direction
using an internal equality in the proof mode goal / hypothesis
`H`
.

`iEval (tac)`
/
`iEval (tac) in H`
: performs a tactic
`tac`
on the proof mode
goal / hypothesis
`H`
. The tactic
`tac`
should be a reduction or rewriting
tactic like
`simpl`
,
`cbv`
,
`lazy`
,
`rewrite`
or
`setoid_rewrite`
. The
`iEval`
tactic is implemented by running
`tac`
on
`?evar ⊢ P`
/
`P ⊢ ?evar`
where
`P`
is the proof goal / hypothesis
`H`
. After running
`tac`
,
`?evar`
is unified
with the resulting
`P`
, which in turn becomes the new proof mode goal /
hypothesis
`H`
.
Note that parentheses around
`tac`
are needed.
If
`H`
is a list of hypothesis, then
`iEval`
will perform
`tac`
on each of them.

`iSimpl`
/
`iSimpl in H`
: performs
`simpl`
on the proof mode goal /
hypothesis
`H`
. This is a shorthand for
`iEval (simpl)`
.

`iEval (tac)`
/
`iEval (tac) in "selpat"`
: performs a tactic
`tac`
on the proof mode goal / hypotheses given by the selection pattern
`selpat`
. Using
`%`
as part of the selection pattern is unsupported.
The tactic
`tac`
should be a reduction or rewriting tactic like
`simpl`
,
`cbv`
,
`lazy`
,
`rewrite`
or
`setoid_rewrite`
. The
`iEval`
tactic is implemented by running
`tac`
on
`?evar ⊢ P`
/
`P ⊢ ?evar`
where
`P`
is the proof goal / a hypothesis given by
`selpat`
. After
running
`tac`
,
`?evar`
is unified with the resulting
`P`
, which in
turn becomes the new proof mode goal / a hypothesis given by
`selpat`
. Note that parentheses around
`tac`
are needed.

`iSimpl`
/
`iSimpl in "selpat"`
: performs
`simpl`
on the proof mode
goal / hypotheses given by the selection pattern
`selpat`
. This is a
shorthand for
`iEval (simpl)`
.
Iris
...
...
tests/proofmode.ref
View file @
a7fe86a3
...
...
@@ 111,6 +111,17 @@ Tactic failure: iSpecialize: cannot instantiate (⌜φ⌝ → P ∗ False)%I wi
∗
⌜S (S (S x)) = y⌝
1 subgoal
PROP : sbi
x, y, z : nat
============================
"H1" : ⌜S (S (S x)) = y⌝
□
"H2" : ⌜(1 + y)%nat = z⌝
∗
⌜S (S (S x)) = y⌝
"test_iFrame_later_1"
: string
1 subgoal
...
...
tests/proofmode.v
View file @
a7fe86a3
...
...
@@ 478,6 +478,11 @@ Lemma test_iSimpl_in_2 x y z :
⌜
S
(
S
(
S
x
))
=
y
⌝
:
PROP
.
Proof
.
iIntros
"H1 H2"
.
iSimpl
in
"H1 H2"
.
Show
.
done
.
Qed
.
Lemma
test_iSimpl_in3
x
y
z
:
⌜
(
3
+
x
)%
nat
=
y
⌝

∗
⌜
(
1
+
y
)%
nat
=
z
⌝

∗
⌜
S
(
S
(
S
x
))
=
y
⌝
:
PROP
.
Proof
.
iIntros
"#H1 H2"
.
iSimpl
in
"#"
.
Show
.
done
.
Qed
.
Lemma
test_iIntros_pure_neg
:
(
⌜
¬
False
⌝
:
PROP
)%
I
.
Proof
.
by
iIntros
(?).
Qed
.
...
...
theories/proofmode/ltac_tactics.v
View file @
a7fe86a3
...
...
@@ 107,40 +107,6 @@ Ltac iFresh :=
constr
:
(
IAnon
n
)
end
.
(** * Simplification *)
Tactic
Notation
"iEval"
tactic
(
t
)
:
=
iStartProof
;
eapply
tac_eval
;
[
let
x
:
=
fresh
in
intros
x
;
t
;
unfold
x
;
reflexivity
].
Ltac
iEval_go
t
Hs
:
=
match
Hs
with

[]
=>
idtac

?H
::
?Hs
=>
let
H
:
=
pretty_ident
H
in
eapply
tac_eval_in
with
_
H
_
_
_;
[
pm_reflexivity

fail
"iEval:"
H
"not found"

let
x
:
=
fresh
in
intros
x
;
t
;
unfold
x
;
reflexivity

pm_reflexivity

iEval_go
t
Hs
]
end
.
Tactic
Notation
"iEval"
tactic
(
t
)
"in"
constr
(
H
)
:
=
iStartProof
;
let
Hs
:
=
words
H
in
iEval_go
t
Hs
.
Tactic
Notation
"iSimpl"
:
=
iEval
(
simpl
).
Tactic
Notation
"iSimpl"
"in"
constr
(
H
)
:
=
iEval
(
simpl
)
in
H
.
(* It would be nice to also have an `iSsrRewrite`, however, for this we need to
pass arguments to Ssreflect's `rewrite` like `/= foo /bar` in Ltac, see:
https://sympa.inria.fr/sympa/arc/coqclub/201801/msg00000.html
PMP told me (= Robbert) in person that this is not possible with the current
Ltac, but it may be possible in Ltac2. *)
(** * Context manipulation *)
Tactic
Notation
"iRename"
constr
(
H1
)
"into"
constr
(
H2
)
:
=
eapply
tac_rename
with
_
H1
H2
_
_;
(* (i:=H1) (j:=H2) *)
...
...
@@ 151,9 +117,12 @@ Tactic Notation "iRename" constr(H1) "into" constr(H2) :=
let
H2
:
=
pretty_ident
H2
in
fail
"iRename:"
H2
"not fresh"
].
(** Elaborated selection patterns, unlike the type [sel_pat], contains
only specific identifiers, and no wildcards like `#` (with the
exception of the pure selection pattern `%`) *)
Inductive
esel_pat
:
=

ESelPure

ESelIdent
:
bool
→
ident
→
esel_pat
.

ESelIdent
:
(* whether the ident is intuitionistic *)
bool
→
ident
→
esel_pat
.
Local
Ltac
iElaborateSelPat_go
pat
Δ
Hs
:
=
lazymatch
pat
with
...
...
@@ 175,6 +144,8 @@ Local Ltac iElaborateSelPat_go pat Δ Hs :=
fail
"iElaborateSelPat:"
H
"not found"
end
end
.
(** Converts a selection pattern (given as a string) to a list of
elaborated selection patterns. *)
Ltac
iElaborateSelPat
pat
:
=
lazymatch
goal
with


envs_entails
?
Δ
_
=>
...
...
@@ 204,6 +175,39 @@ Tactic Notation "iClear" constr(Hs) :=
Tactic
Notation
"iClear"
"("
ident_list
(
xs
)
")"
constr
(
Hs
)
:
=
iClear
Hs
;
clear
xs
.
(** ** Simplification *)
Tactic
Notation
"iEval"
tactic
(
t
)
:
=
iStartProof
;
eapply
tac_eval
;
[
let
x
:
=
fresh
in
intros
x
;
t
;
unfold
x
;
reflexivity
].
Local
Ltac
iEval_go
t
Hs
:
=
lazymatch
Hs
with

[]
=>
idtac

ESelPure
::
?Hs
=>
fail
"iEval: %: unsupported selection pattern"

ESelIdent
_
?H
::
?Hs
=>
eapply
tac_eval_in
with
_
H
_
_
_;
[
pm_reflexivity

let
H
:
=
pretty_ident
H
in
fail
"iEval:"
H
"not found"

let
x
:
=
fresh
in
intros
x
;
t
;
unfold
x
;
reflexivity

pm_reflexivity

iEval_go
t
Hs
]
end
.
Tactic
Notation
"iEval"
tactic
(
t
)
"in"
constr
(
Hs
)
:
=
iStartProof
;
let
Hs
:
=
iElaborateSelPat
Hs
in
iEval_go
t
Hs
.
Tactic
Notation
"iSimpl"
:
=
iEval
(
simpl
).
Tactic
Notation
"iSimpl"
"in"
constr
(
H
)
:
=
iEval
(
simpl
)
in
H
.
(* It would be nice to also have an `iSsrRewrite`, however, for this we need to
pass arguments to Ssreflect's `rewrite` like `/= foo /bar` in Ltac, see:
https://sympa.inria.fr/sympa/arc/coqclub/201801/msg00000.html
PMP told me (= Robbert) in person that this is not possible with the current
Ltac, but it may be possible in Ltac2. *)
(** * Assumptions *)
Tactic
Notation
"iExact"
constr
(
H
)
:
=
eapply
tac_assumption
with
_
H
_
_;
(* (i:=H) *)
...
...
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