Nuprl Lemma : sq_stable__monoid_hom_p
13,42
postcript
pdf
a
,
b
:GrpSig,
f
:(|
a
|
|
b
|). SqStable(IsMonHom{
a
,
b
}(
f
))
latex
Up
groups
1
Definitions of Statement
IsMonHom{
M1
,
M2
}(
f
)
Definitions
x
.
t
(
x
)
,
t
T
,
,
x
f
y
,
FunThru2op(
A
;
B
;
opa
;
opb
;
f
)
,
IsMonHom{
M1
,
M2
}(
f
)
,
x
:
A
.
B
(
x
)
,
x
(
s
)
,
P
Q
Lemmas
grp
sig
wf
,
sq
stable
equal
,
sq
stable
all
,
grp
id
wf
,
grp
op
wf
,
grp
car
wf
,
sq
stable
and
origin
a, b:GrpSig, f:(|a|
|b|). SqStable(IsMonHom{a,b}(f)) a, b:GrpSig, f:(|a||b|). SqStable(IsMonHom{a,b}(f)) 
x. t(x)
T
x:A. B(x)
Q