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e4c96015
Commit
e4c96015
authored
Jun 01, 2016
by
Robbert Krebbers
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Notations for X ⊆ Y ⊆ Z.
parent
d0131be5
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+6
-1
prelude/base.v
prelude/base.v
+5
-0
program_logic/invariants.v
program_logic/invariants.v
+1
-1
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prelude/base.v
View file @
e4c96015
...
@@ -637,6 +637,11 @@ Notation "(⊄)" := (λ X Y, X ⊄ Y) (only parsing) : C_scope.
...
@@ -637,6 +637,11 @@ Notation "(⊄)" := (λ X Y, X ⊄ Y) (only parsing) : C_scope.
Notation
"( X ⊄ )"
:
=
(
λ
Y
,
X
⊄
Y
)
(
only
parsing
)
:
C_scope
.
Notation
"( X ⊄ )"
:
=
(
λ
Y
,
X
⊄
Y
)
(
only
parsing
)
:
C_scope
.
Notation
"( ⊄ X )"
:
=
(
λ
Y
,
Y
⊄
X
)
(
only
parsing
)
:
C_scope
.
Notation
"( ⊄ X )"
:
=
(
λ
Y
,
Y
⊄
X
)
(
only
parsing
)
:
C_scope
.
Notation
"X ⊆ Y ⊆ Z"
:
=
(
X
⊆
Y
∧
Y
⊆
Z
)
(
at
level
70
,
Y
at
next
level
)
:
C_scope
.
Notation
"X ⊆ Y ⊂ Z"
:
=
(
X
⊆
Y
∧
Y
⊂
Z
)
(
at
level
70
,
Y
at
next
level
)
:
C_scope
.
Notation
"X ⊂ Y ⊆ Z"
:
=
(
X
⊂
Y
∧
Y
⊆
Z
)
(
at
level
70
,
Y
at
next
level
)
:
C_scope
.
Notation
"X ⊂ Y ⊂ Z"
:
=
(
X
⊂
Y
∧
Y
⊂
Z
)
(
at
level
70
,
Y
at
next
level
)
:
C_scope
.
(** The class [Lexico A] is used for the lexicographic order on [A]. This order
(** The class [Lexico A] is used for the lexicographic order on [A]. This order
is used to create finite maps, finite sets, etc, and is typically different from
is used to create finite maps, finite sets, etc, and is typically different from
the order [(⊆)]. *)
the order [(⊆)]. *)
...
...
program_logic/invariants.v
View file @
e4c96015
...
@@ -34,7 +34,7 @@ Qed.
...
@@ -34,7 +34,7 @@ Qed.
(** Fairly explicit form of opening invariants *)
(** Fairly explicit form of opening invariants *)
Lemma
inv_open
E
N
P
:
Lemma
inv_open
E
N
P
:
nclose
N
⊆
E
→
nclose
N
⊆
E
→
inv
N
P
⊢
∃
E'
,
■
(
E
∖
nclose
N
⊆
E'
∧
E'
⊆
E
)
★
inv
N
P
⊢
∃
E'
,
■
(
E
∖
nclose
N
⊆
E'
⊆
E
)
★
|={
E
,
E'
}=>
▷
P
★
(
▷
P
={
E'
,
E
}=
★
True
).
|={
E
,
E'
}=>
▷
P
★
(
▷
P
={
E'
,
E
}=
★
True
).
Proof
.
Proof
.
rewrite
/
inv
.
iIntros
{?}
"Hinv"
.
iDestruct
"Hinv"
as
{
i
}
"[% #Hi]"
.
rewrite
/
inv
.
iIntros
{?}
"Hinv"
.
iDestruct
"Hinv"
as
{
i
}
"[% #Hi]"
.
...
...
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