Nuprl Lemma : xxtrans_functionality_wrt_breqv
13,42
postcript
pdf
T
:Type,
R
,
R'
:(
T
T
). (
R
<
>{
T
}
R'
)
(trans(
T
;
R
)
trans(
T
;
R'
))
latex
Up
gen
algebra
1
Definitions of Statement
E
<
>{
T
}
E'
,
trans(
T
;
E
)
Definitions
P
&
Q
,
x
,
y
.
t
(
x
;
y
)
,
t
T
,
P
Q
,
trans(
T
;
E
)
,
P
Q
,
E
<
>{
T
}
E'
,
P
Q
,
,
x
:
A
.
B
(
x
)
,
x
(
s1
,
s2
)
Lemmas
iff
wf
,
trans
functionality
wrt
iff
,
trans
wf
,
iff
functionality
wrt
iff
origin
T:Type, R, R':(T
T
). (R <
>{T} R') 
(trans(T;R) 
trans(T;R')) T:Type, R, R':(TT). (R <>{T} R') (trans(T;R) trans(T;R')) >{T} E'
x,y. t(x;y)
T Q Q>{T} E' Qx:A. B(x)