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