Nuprl Lemma : quotient_qinc
13,42
postcript
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T
:Type,
E
:(
T
T
). EquivRel(
T
;
x
,
y
.
E
(
x
,
y
))
T
(
x
,
y
:
T
//
E
(
x
,
y
))
latex
Up
quot
1
,
quot
1
Definitions
x
,
y
.
t
(
x
;
y
)
,
t
T
,
S
T
,
x
(
s1
,
s2
)
,
P
Q
,
,
x
:
A
.
B
(
x
)
Lemmas
equiv
rel
wf
,
quotient
wf
origin
T:Type, E:(T
T
). EquivRel(T;x,y.E(x,y)) 
T 
(x,y:T//E(x,y)) T:Type, E:(TT). EquivRel(T;x,y.E(x,y)) T (x,y:T//E(x,y)) 
x,y. t(x;y)
T T Qx:A. B(x)