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1f24d020
Commit
1f24d020
authored
Feb 23, 2018
by
Robbert Krebbers
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Plain Diff
Remove admissable rule for `plainly`.
parent
119fdac5
Changes
4
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4 changed files
with
5 additions
and
10 deletions
+5
10
theories/base_logic/upred.v
theories/base_logic/upred.v
+0
2
theories/bi/derived_laws.v
theories/bi/derived_laws.v
+5
2
theories/bi/interface.v
theories/bi/interface.v
+0
5
theories/bi/monpred.v
theories/bi/monpred.v
+0
1
No files found.
theories/base_logic/upred.v
View file @
1f24d020
...
...
@@ 486,8 +486,6 @@ Proof.
intros
P
QR
HP
.
unseal
;
split
=>
n
x
?
/=.
by
apply
HP
,
cmra_core_validN
.

(* bi_persistently P ⊢ bi_persistently (bi_persistently P) *)
intros
P
.
unseal
;
split
=>
n
x
??
/=.
by
rewrite
cmra_core_idemp
.

(* bi_plainly (bi_persistently P) ⊢ bi_plainly P (ADMISSIBLE) *)
intros
P
.
unseal
;
split
=>
n
x
??
/=.
by
rewrite
(
core_id_core
ε
).

(* (∀ a, bi_persistently (Ψ a)) ⊢ bi_persistently (∀ a, Ψ a) *)
by
unseal
.

(* bi_persistently (∃ a, Ψ a) ⊢ ∃ a, bi_persistently (Ψ a) *)
...
...
theories/bi/derived_laws.v
View file @
1f24d020
...
...
@@ 957,8 +957,11 @@ Proof.
Qed
.
Lemma
plainly_persistently
P
:
bi_plainly
(
bi_persistently
P
)
⊣
⊢
bi_plainly
P
.
Proof
.
apply
(
anti_symm
_
)
;
first
apply
plainly_persistently_1
.
by
rewrite
{
1
}
plainly_idemp_2
(
plainly_elim_persistently
P
).
apply
(
anti_symm
_
).

rewrite
{
1
}(
left_id
True
%
I
bi_and
(
bi_plainly
_
))
(
plainly_emp_intro
True
%
I
).
rewrite
{
2
}(
persistently_and_emp_elim
P
).
rewrite
!
and_alt

plainly_forall_2
.
by
apply
forall_mono
=>
[].

by
rewrite
{
1
}
plainly_idemp_2
(
plainly_elim_persistently
P
).
Qed
.
Lemma
absorbingly_plainly
P
:
bi_absorbingly
(
bi_plainly
P
)
⊣
⊢
bi_plainly
P
.
...
...
theories/bi/interface.v
View file @
1f24d020
...
...
@@ 129,8 +129,6 @@ Section bi_mixin.
(* In the ordered RA model: `core` is idempotent *)
bi_mixin_persistently_idemp_2
P
:
bi_persistently
P
⊢
bi_persistently
(
bi_persistently
P
)
;
bi_mixin_plainly_persistently_1
P
:
bi_plainly
(
bi_persistently
P
)
⊢
bi_plainly
P
;
(* In the ordered RA model [P ⊢ persisently emp] (which can currently still
be derived from the plainly axioms, which will be removed): `ε ≼ core x` *)
...
...
@@ 453,9 +451,6 @@ Proof. eapply bi_mixin_persistently_mono, bi_bi_mixin. Qed.
Lemma
persistently_idemp_2
P
:
bi_persistently
P
⊢
bi_persistently
(
bi_persistently
P
).
Proof
.
eapply
bi_mixin_persistently_idemp_2
,
bi_bi_mixin
.
Qed
.
Lemma
plainly_persistently_1
P
:
bi_plainly
(
bi_persistently
P
)
⊢
bi_plainly
P
.
Proof
.
eapply
(
bi_mixin_plainly_persistently_1
bi_entails
),
bi_bi_mixin
.
Qed
.
Lemma
persistently_forall_2
{
A
}
(
Ψ
:
A
→
PROP
)
:
(
∀
a
,
bi_persistently
(
Ψ
a
))
⊢
bi_persistently
(
∀
a
,
Ψ
a
).
...
...
theories/bi/monpred.v
View file @
1f24d020
...
...
@@ 326,7 +326,6 @@ Proof.

intros
P
Q
.
split
=>
i
.
apply
bi
.
sep_elim_l
,
_
.

intros
P
Q
[?].
split
=>
i
/=.
by
f_equiv
.

intros
P
.
split
=>
i
.
by
apply
bi
.
persistently_idemp_2
.

intros
P
.
split
=>
i
/=.
by
setoid_rewrite
bi
.
plainly_persistently_1
.

intros
A
Ψ
.
split
=>
i
.
by
apply
bi
.
persistently_forall_2
.

intros
A
Ψ
.
split
=>
i
.
by
apply
bi
.
persistently_exist_1
.

intros
P
Q
.
split
=>
i
.
apply
bi
.
sep_elim_l
,
_
.
...
...
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