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Gaëtan Gilbert
Iris
Commits
9690a7ee
Commit
9690a7ee
authored
6 years ago
by
Robbert Krebbers
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Move laterN_iter to derived_laws_sbi, because it's more generic.
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theories/base_logic/derived.v
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-4
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theories/base_logic/derived.v
theories/bi/derived_laws_sbi.v
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theories/bi/derived_laws_sbi.v
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4 deletions
theories/base_logic/derived.v
+
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View file @
9690a7ee
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@@ -91,10 +91,6 @@ Global Instance uPred_ownM_sep_homomorphism :
MonoidHomomorphism
op
uPred_sep
(
≡
)
(
@
uPred_ownM
M
)
.
Proof
.
split
;
[
split
;
try
apply
_|]
.
apply
ownM_op
.
apply
ownM_unit'
.
Qed
.
(** Iterated later *)
Lemma
laterN_iter
n
P
:
(
▷^
n
P
)
%
I
=
Nat
.
iter
n
sbi_later
P
.
Proof
.
induction
n
;
f_equal
/=
;
auto
.
Qed
.
(** Consistency/soundness statement *)
Lemma
soundness
φ
n
:
(
▷^
n
⌜
φ
⌝
:
uPred
M
)
%
I
→
φ
.
Proof
.
rewrite
laterN_iter
.
apply
soundness_iter
.
Qed
.
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theories/bi/derived_laws_sbi.v
+
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−
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View file @
9690a7ee
...
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@@ -247,6 +247,9 @@ Proof. induction n1; f_equiv/=; auto. Qed.
Lemma
laterN_le
n1
n2
P
:
n1
≤
n2
→
▷^
n1
P
⊢
▷^
n2
P
.
Proof
.
induction
1
;
simpl
;
by
rewrite
-
?later_intro
.
Qed
.
Lemma
laterN_iter
n
P
:
(
▷^
n
P
)
%
I
=
Nat
.
iter
n
sbi_later
P
.
Proof
.
induction
n
;
f_equal
/=
;
auto
.
Qed
.
Lemma
laterN_mono
n
P
Q
:
(
P
⊢
Q
)
→
▷^
n
P
⊢
▷^
n
Q
.
Proof
.
induction
n
;
simpl
;
auto
.
Qed
.
Global
Instance
laterN_mono'
n
:
Proper
((
⊢
)
==>
(
⊢
))
(
@
sbi_laterN
PROP
n
)
.
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