Nuprl Lemma : oset_of_ocmon_wf
13,42
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g
:OMon. (
g
oset)
LOSet
latex
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Definitions of Statement
IsMonoid(
T
;
op
;
id
)
,
GrpSig
,
Mon
,
AbMon
,
g
set
,
OMon
,
g
oset
Definitions
x
,
y
.
t
(
x
;
y
)
,
P
&
Q
,
,
x
f
y
,
t
T
,
x
:
A
.
B
(
x
)
,
,
t
.2
,
t
.1
,
g
set
,
=
,
DSet
,
QOSet
,
a
b
,
|
p
|
,
POSet{i}
,
g
oset
,
LOSet
,
Preorder(
T
;
x
,
y
.
R
(
x
;
y
))
,
Mon
,
x
(
s1
,
s2
)
,
AbMon
,
OMon
,
Order(
T
;
x
,
y
.
R
(
x
;
y
))
,
Linorder(
T
;
x
,
y
.
R
(
x
;
y
))
,
IsMonoid(
T
;
op
;
id
)
Lemmas
omon
wf
,
grp
eq
wf
,
eqfun
p
wf
,
grp
id
wf
,
monoid
p
wf
,
grp
sig
wf
,
mon
properties
,
grp
op
wf
,
comm
wf
,
mon
wf
,
abmonoid
properties
,
grp
le
wf
,
assert
wf
,
grp
car
wf
,
linorder
wf
,
abmonoid
wf
,
omon
properties
,
connex
wf
,
anti
sym
wf
,
set
leq
wf
,
preorder
wf
,
set
eq
wf
,
set
car
wf
,
oset
of
ocmon
wf0
origin