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Pierre Roux
Iris
Commits
f1cefaac
Commit
f1cefaac
authored
2 years ago
by
Robbert Krebbers
Committed by
Ralf Jung
2 years ago
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iris/algebra/lib/mono_list.v
+1
-1
1 addition, 1 deletion
iris/algebra/lib/mono_list.v
iris/algebra/lib/mono_nat.v
+2
-2
2 additions, 2 deletions
iris/algebra/lib/mono_nat.v
with
3 additions
and
3 deletions
iris/algebra/lib/mono_list.v
+
1
−
1
View file @
f1cefaac
...
@@ -70,7 +70,7 @@ Section mono_list_props.
...
@@ -70,7 +70,7 @@ Section mono_list_props.
Global
Instance
mono_list_auth_dfrac_is_op
dq
dq1
dq2
l
:
Global
Instance
mono_list_auth_dfrac_is_op
dq
dq1
dq2
l
:
IsOp
dq
dq1
dq2
→
IsOp'
(
●
ML
{
dq
}
l
)
(
●
ML
{
dq1
}
l
)
(
●
ML
{
dq2
}
l
)
.
IsOp
dq
dq1
dq2
→
IsOp'
(
●
ML
{
dq
}
l
)
(
●
ML
{
dq1
}
l
)
(
●
ML
{
dq2
}
l
)
.
Proof
.
rewrite
/
IsOp'
/
IsOp
=>
->
.
rewrite
mono_list_auth_dfrac_op
//.
Qed
.
Proof
.
rewrite
/
IsOp'
/
IsOp
=>
->
.
rewrite
mono_list_auth_dfrac_op
//.
Qed
.
(** * Validity *)
(** * Validity *)
Lemma
mono_list_auth_dfrac_validN
n
dq
l
:
✓
{
n
}
(
●
ML
{
dq
}
l
)
↔
✓
dq
.
Lemma
mono_list_auth_dfrac_validN
n
dq
l
:
✓
{
n
}
(
●
ML
{
dq
}
l
)
↔
✓
dq
.
...
...
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iris/algebra/lib/mono_nat.v
+
2
−
2
View file @
f1cefaac
...
@@ -55,10 +55,10 @@ Section mono_nat.
...
@@ -55,10 +55,10 @@ Section mono_nat.
Global
Instance
mono_nat_auth_dfrac_is_op
dq
dq1
dq2
n
:
Global
Instance
mono_nat_auth_dfrac_is_op
dq
dq1
dq2
n
:
IsOp
dq
dq1
dq2
→
IsOp'
(
●
MN
{
dq
}
n
)
(
●
MN
{
dq1
}
n
)
(
●
MN
{
dq2
}
n
)
.
IsOp
dq
dq1
dq2
→
IsOp'
(
●
MN
{
dq
}
n
)
(
●
MN
{
dq1
}
n
)
(
●
MN
{
dq2
}
n
)
.
Proof
.
rewrite
/
IsOp'
/
IsOp
=>
->
.
rewrite
mono_nat_auth_dfrac_op
//.
Qed
.
Proof
.
rewrite
/
IsOp'
/
IsOp
=>
->
.
rewrite
mono_nat_auth_dfrac_op
//.
Qed
.
Global
Instance
mono_nat_lb_max_is_op
n
n1
n2
:
Global
Instance
mono_nat_lb_max_is_op
n
n1
n2
:
IsOp
(
MaxNat
n
)
(
MaxNat
n1
)
(
MaxNat
n2
)
→
IsOp'
(
◯
MN
n
)
(
◯
MN
n1
)
(
◯
MN
n2
)
.
IsOp
(
MaxNat
n
)
(
MaxNat
n1
)
(
MaxNat
n2
)
→
IsOp'
(
◯
MN
n
)
(
◯
MN
n1
)
(
◯
MN
n2
)
.
Proof
.
rewrite
/
IsOp'
/
IsOp
/
mono_nat_lb
=>
->
.
done
.
Qed
.
Proof
.
rewrite
/
IsOp'
/
IsOp
/
mono_nat_lb
=>
->
.
done
.
Qed
.
(** rephrasing of [mono_nat_lb_op] useful for weakening a fragment to a
(** rephrasing of [mono_nat_lb_op] useful for weakening a fragment to a
smaller lower-bound *)
smaller lower-bound *)
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