Nuprl Lemma : xxconnex_iff_trichot_a
13,42
postcript
pdf
T
:Type,
R
:(
T
T
). connex(
T
;
R
)
(
a
,
b
:
T
. (
R
(
a
,
b
))
(
a
=
b
)
(
R
(
b
,
a
)))
latex
Up
gen
algebra
1
Definitions of Statement
connex(
T
;
R
)
,
E
Definitions
x
,
y
.
t
(
x
;
y
)
,
t
T
,
P
Q
,
P
Q
,
P
&
Q
,
Connex(
T
;
x
,
y
.
R
(
x
;
y
))
,
P
Q
,
E
,
connex(
T
;
R
)
,
P
Q
,
,
x
:
A
.
B
(
x
)
,
x
(
s1
,
s2
)
Lemmas
connex
wf
origin
T:Type, R:(T
T
). connex(T;R
) 
(a, b:T. (R(a,b)) 
(a = b) (R(b,a))) T:Type, R:(TT). connex(T;R) (a, b:T. (R(a,b)) (a = b) (R(b,a))) 
x,y. t(x;y)
T Q Q Q Qx:A. B(x)