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96184edb
Commit
96184edb
authored
Jun 17, 2016
by
Robbert Krebbers
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Plain Diff
Better statement of posivitity of option.
parent
46ca1ffc
Changes
2
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2 changed files
with
8 additions
and
11 deletions
+8
11
algebra/cmra.v
algebra/cmra.v
+4
7
algebra/gmap.v
algebra/gmap.v
+4
4
No files found.
algebra/cmra.v
View file @
96184edb
...
...
@@ 1033,14 +1033,11 @@ Section option.
(** Misc *)
Global
Instance
Some_cmra_monotone
:
CMRAMonotone
Some
.
Proof
.
split
;
[
apply
_

done

intros
x
y
[
z
>]
;
by
exists
(
Some
z
)].
Qed
.
Lemma
op_None
mx
my
:
mx
⋅
my
=
None
↔
mx
=
None
∧
my
=
None
.
Proof
.
destruct
mx
,
my
;
naive_solver
.
Qed
.
Lemma
op_is_Some
mx
my
:
is_Some
(
mx
⋅
my
)
↔
is_Some
mx
∨
is_Some
my
.
Proof
.
destruct
mx
,
my
;
rewrite
/
op
/
option_op
/=
!
not_eq_None_Some
;
naive_solver
.
Qed
.
Lemma
option_op_positive_dist_l
n
mx
my
:
mx
⋅
my
≡
{
n
}
≡
None
→
mx
≡
{
n
}
≡
None
.
Proof
.
by
destruct
mx
,
my
;
inversion_clear
1
.
Qed
.
Lemma
option_op_positive_dist_r
n
mx
my
:
mx
⋅
my
≡
{
n
}
≡
None
→
my
≡
{
n
}
≡
None
.
Proof
.
by
destruct
mx
,
my
;
inversion_clear
1
.
Qed
.
Proof
.
rewrite
!
not_eq_None_Some
op_None
.
destruct
mx
,
my
;
naive_solver
.
Qed
.
Global
Instance
Some_persistent
(
x
:
A
)
:
Persistent
x
→
Persistent
(
Some
x
).
Proof
.
by
constructor
.
Qed
.
...
...
algebra/gmap.v
View file @
96184edb
...
...
@@ 147,11 +147,11 @@ Proof.
+
destruct
(
m
!!
i
)
as
[
x
]
eqn
:
Hx
;
rewrite
!
Hx
/=
;
[
constructor
].
rewrite

Hx
;
apply
(
proj2_sig
(
f
i
)).
+
destruct
(
m
!!
i
)
as
[
x
]
eqn
:
Hx
;
rewrite
/=
;
[
apply
(
proj2_sig
(
f
i
))].
pose
proof
(
Hm12'
i
)
as
Hm12''
;
rewrite
Hx
in
Hm12''
.
by
symmetry
;
apply
option_op_positive_dist_l
with
(
m2
!!
i
)
.
move
:
(
Hm12'
i
).
rewrite
Hx
!
timeless_iff
.
rewrite
!(
symmetry_iff
_
None
)
!
equiv_None
op_None
;
tauto
.
+
destruct
(
m
!!
i
)
as
[
x
]
eqn
:
Hx
;
simpl
;
[
apply
(
proj2_sig
(
f
i
))].
pose
proof
(
Hm12'
i
)
as
Hm12''
;
rewrite
Hx
in
Hm12''
.
by
symmetry
;
apply
option_op_positive_dist_r
with
(
m1
!!
i
)
.
move
:
(
Hm12'
i
).
rewrite
Hx
!
timeless_iff
.
rewrite
!(
symmetry_iff
_
None
)
!
equiv_None
op_None
;
tauto
.
Qed
.
Canonical
Structure
gmapR
:
=
CMRAT
(
gmap
K
A
)
gmap_cofe_mixin
gmap_cmra_mixin
.
...
...
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