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