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