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Rodolphe Lepigre
Iris
Commits
75cc5c91
Commit
75cc5c91
authored
Jul 06, 2014
by
Filip Sieczkowski
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Finished the proof of Ralf's statement of soundness.
parent
f95ee313
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75cc5c91
...
...
@@ -1175,13 +1175,14 @@ Qed.
(
HV
:
is_value
e'
)
:
φ
(
exist
_
e'
HV
).
Proof
.
edestruct
(
soundness
_
_
_
_
_
0
_
_
_
_
fdEmpty
(
ex_own
_
σ
,
pcm_unit
_
)
1
HT
HSN
)
as
[
w'
[
r'
[
s'
[
H_wle
[
H_phi
_
]
]
]
]
].
-
simpl
.
hnf
.
exists
(
pcm_unit
_
).
rewrite
pcm_op_unit
by
intuition
.
reflexivity
.
-
rewrite
Plus
.
plus_comm
.
simpl
.
split
.
+
admit
.
(* TODO: rewrite comm. does not work though?? *)
+
exists
(
fdEmpty
(
V
:
=
res
)).
simpl
.
split
;
[
reflexivity
|].
intros
i
_
.
split
;
[
tauto
|].
edestruct
(
soundness
_
_
_
_
_
0
_
_
_
_
fdEmpty
(
ex_own
_
σ
,
pcm_unit
_
)
1
HT
HSN
)
as
[
w
[
r
[
s
[
H_wle
[
H_phi
_
]
]
]
]
].
-
exists
(
pcm_unit
_
)
;
now
rewrite
pcm_op_unit
by
apply
_
.
-
rewrite
Plus
.
plus_comm
;
split
.
+
assert
(
HS
:
Some
(
ex_own
_
σ
,
pcm_unit
_
)
·
1
=
Some
(
ex_own
_
σ
,
pcm_unit
_
))
;
[|
now
setoid_rewrite
HS
].
eapply
ores_equiv_eq
;
now
erewrite
comm
,
pcm_op_unit
by
apply
_
.
+
exists
(
fdEmpty
(
V
:
=
res
))
;
split
;
[
reflexivity
|].
intros
i
_;
split
;
[
reflexivity
|].
intros
_
_
[].
-
exact
H_phi
.
Qed
.
...
...
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