Nuprl Lemma : monoid_hom_op
13,42
postcript
pdf
g
,
h
:GrpSig,
f
:MonHom(
g
,
h
),
u
,
v
:|
g
|.
f
(
u
*
v
) = ((
f
(
u
)) * (
f
(
v
)))
|
h
|
latex
Up
groups
1
Definitions of Statement
IsMonHom{
M1
,
M2
}(
f
)
Definitions
t
T
,
x
:
A
.
B
(
x
)
,
P
&
Q
,
IsMonHom{
M1
,
M2
}(
f
)
,
FunThru2op(
A
;
B
;
opa
;
opb
;
f
)
Lemmas
grp
sig
wf
,
monoid
hom
wf
,
grp
car
wf
,
monoid
hom
properties
origin
g, h:GrpSig, f:MonHom(g,h), u, v:|g|. f(u * v) = ((f(u)) * (f(v))) 
|h| g, h:GrpSig, f:MonHom(g,h), u, v:|g|. f(u * v) = ((f(u)) * (f(v))) |h| Tx:A. B(x)