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Joshua Yanovski
iris-coq
Commits
7293e063
Commit
7293e063
authored
Sep 28, 2016
by
Robbert Krebbers
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Prove always_if_pure.
parent
648f146d
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algebra/upred.v
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7293e063
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@@ -1081,6 +1081,9 @@ Lemma always_if_elim p P : □?p P ⊢ P.
Proof
.
destruct
p
;
simpl
;
auto
using
always_elim
.
Qed
.
Lemma
always_elim_if
p
P
:
□
P
⊢
□
?
p
P
.
Proof
.
destruct
p
;
simpl
;
auto
using
always_elim
.
Qed
.
Lemma
always_if_pure
p
φ
:
□
?
p
■
φ
⊣⊢
■
φ
.
Proof
.
destruct
p
;
simpl
;
auto
using
always_pure
.
Qed
.
Lemma
always_if_and
p
P
Q
:
□
?
p
(
P
∧
Q
)
⊣⊢
□
?
p
P
∧
□
?
p
Q
.
Proof
.
destruct
p
;
simpl
;
auto
using
always_and
.
Qed
.
Lemma
always_if_or
p
P
Q
:
□
?
p
(
P
∨
Q
)
⊣⊢
□
?
p
P
∨
□
?
p
Q
.
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