Nuprl Lemma : trans_imp_sp_trans_a
13,42
postcript
pdf
T
:Type,
R
:(
T
T
).
Trans(
T
;
a
,
b
.
R
(
a
,
b
))
{
a
,
b
,
c
:
T
.
R
(
a
,
b
)
strict_part(
x
,
y
.
R
(
x
,
y
);
b
;
c
)
strict_part(
x
,
y
.
R
(
x
,
y
);
a
;
c
)}
latex
Up
rel
1
,
rel
1
Definitions
t
T
,
P
&
Q
,
strict_part(
x
,
y
.
R
(
x
;
y
);
a
;
b
)
,
{
T
}
,
x
(
s1
,
s2
)
,
Trans(
T
;
x
,
y
.
E
(
x
;
y
))
,
P
Q
,
,
x
:
A
.
B
(
x
)
,
A
,
False
Lemmas
not
wf
origin