Nuprl Lemma : sq_stable__trans
13,42
postcript
pdf
T
:Type,
R
:(
T
T
). (
x
,
y
:
T
. SqStable(
R
(
x
,
y
)))
SqStable(Trans(
T
;
y
,
x
.
R
(
x
,
y
)))
latex
Up
rel
1
,
rel
1
Definitions
x
.
t
(
x
)
,
t
T
,
Trans(
T
;
x
,
y
.
E
(
x
;
y
))
,
x
(
s1
,
s2
)
,
P
Q
,
,
x
:
A
.
B
(
x
)
,
x
(
s
)
Lemmas
sq
stable
wf
,
sq
stable
all
origin
T:Type, R:(T
T
). (x, y:T. SqStable(R(x,y))) 
SqStable(Trans(T;y,x.R(x,y))) T:Type, R:(TT). (x, y:T. SqStable(R(x,y))) SqStable(Trans(T;y,x.R(x,y))) 
x. t(x)
T Qx:A. B(x)