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Iris
transfinite
Commits
1519c178
Commit
1519c178
authored
Jul 03, 2019
by
Robbert Krebbers
Browse files
Add lemmas for `≼` of `Cinl` and `Cinr`.
parent
4e176be4
Changes
1
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Side-by-side
theories/algebra/csum.v
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1519c178
...
...
@@ -189,6 +189,10 @@ Proof.
+
exists
(
Cinl
c
)
;
by
constructor
.
+
exists
(
Cinr
c
)
;
by
constructor
.
Qed
.
Lemma
Cinl_included
a
a'
:
Cinl
a
≼
Cinl
a'
↔
a
≼
a'
.
Proof
.
rewrite
csum_included
.
naive_solver
.
Qed
.
Lemma
Cinr_included
b
b'
:
Cinr
b
≼
Cinr
b'
↔
b
≼
b'
.
Proof
.
rewrite
csum_included
.
naive_solver
.
Qed
.
Lemma
csum_includedN
n
x
y
:
x
≼
{
n
}
y
↔
y
=
CsumBot
∨
(
∃
a
a'
,
x
=
Cinl
a
∧
y
=
Cinl
a'
∧
a
≼
{
n
}
a'
)
...
...
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