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Joshua Yanovski
iris-coq
Commits
bf8da205
Commit
bf8da205
authored
Mar 24, 2017
by
Robbert Krebbers
Browse files
Add an example why we need WeakMonoidHomomorphism.
parent
02a0929d
Changes
1
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Inline
Side-by-side
theories/algebra/monoid.v
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bf8da205
...
...
@@ -30,7 +30,9 @@ Lemma monoid_right_id `{Monoid M o} : RightId (≡) monoid_unit o.
Proof
.
intros
x
.
etrans
;
[
apply
monoid_comm
|
apply
monoid_left_id
].
Qed
.
(
**
The
[
Homomorphism
]
classes
give
rise
to
generic
lemmas
about
big
operators
commuting
with
each
other
.
*
)
commuting
with
each
other
.
We
also
consider
a
[
WeakMonoidHomomorphism
]
which
does
not
necesarrily
commute
with
unit
;
an
example
is
the
[
own
]
connective
:
we
only
have
`True
==
∗
own
γ
∅`
,
not
`True
↔
own
γ
∅`
.
*
)
Class
WeakMonoidHomomorphism
{
M1
M2
:
ofeT
}
(
o1
:
M1
→
M1
→
M1
)
(
o2
:
M2
→
M2
→
M2
)
`
{
Monoid
M1
o1
,
Monoid
M2
o2
}
(
f
:
M1
→
M2
)
:=
{
monoid_homomorphism_ne
:
NonExpansive
f
;
...
...
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