Nuprl Lemma : set_lt_is_sp_of_leq
13,42
postcript
pdf
p
:PosetSig,
a
,
b
:|
p
|. (
a
<
p
b
)
strict_part(
x
,
y
.
x
y
;
a
;
b
)
latex
Up
sets
1
Definitions of Statement
a
<
b
,
a
<
p
b
Definitions
t
T
,
x
:
A
.
B
(
x
)
,
a
<
b
,
strict_part(
x
,
y
.
R
(
x
;
y
);
a
;
b
)
,
a
<
p
b
,
True
,
T
,
P
Q
,
,
P
Q
,
P
&
Q
,
x
f
y
,
P
Q
Lemmas
poset
sig
wf
,
set
car
wf
,
true
wf
,
squash
wf
,
assert
of
bnot
,
assert
of
set
leq
,
and
functionality
wrt
iff
,
assert
of
band
,
iff
transitivity
,
not
wf
,
set
leq
wf
,
bnot
wf
,
set
le
wf
,
band
wf
,
assert
wf
,
iff
functionality
wrt
iff
origin