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George Pirlea
Iris
Commits
fbde58f6
Commit
fbde58f6
authored
Feb 24, 2018
by
Robbert Krebbers
Browse files
Show yet another relation between plainly and equality.
parent
135f1298
Changes
1
Hide whitespace changes
Inline
Sidebyside
theories/bi/derived_laws.v
View file @
fbde58f6
...
...
@@ 1934,6 +1934,16 @@ Proof.
by
rewrite
plainly_pure
True_impl
.
Qed
.
Lemma
plainly_True_alt
P
:
bi_plainly
(
True

∗
P
)
⊣
⊢
P
≡
True
.
Proof
.
apply
(
anti_symm
(
⊢
)).

rewrite

prop_ext
.
apply
plainly_mono
,
and_intro
;
apply
wand_intro_l
;
auto
.
by
rewrite
wand_elim_r
.

rewrite
internal_eq_sym
(
internal_eq_rewrite
_
_
(
λ
Q
,
bi_plainly
(
True

∗
Q
))
ltac
:
(
solve_proper
)).
by
rewrite

entails_wand
//
(
plainly_emp_intro
True
%
I
)
True_impl
.
Qed
.
Global
Instance
internal_eq_absorbing
{
A
:
ofeT
}
(
x
y
:
A
)
:
Absorbing
(
x
≡
y
:
PROP
)%
I
.
Proof
.
by
rewrite
/
Absorbing
absorbingly_internal_eq
.
Qed
.
...
...
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