Nuprl Lemma : sym_functionality_wrt_iff
12,41
postcript
pdf
T
:Type,
R
,
R'
:(
T
T
).
(
x
,
y
:
T
.
R
(
x
,
y
)
R'
(
x
,
y
))
(Sym(
T
;
x
,
y
.
R
(
x
,
y
))
Sym(
T
;
x
,
y
.
R'
(
x
,
y
)))
latex
ProofTree
Definitions
P
Q
,
P
&
Q
,
P
Q
,
t
T
,
x
(
s1
,
s2
)
,
P
Q
,
x
:
A
.
B
(
x
)
,
Lemmas
iff
wf
origin
T:Type, R, R':(T
T
).
x, y:T. R(x,y) 
R'(x,y)) (Sym(T;x,y.R(x,y)) Sym(T;x,y.R'(x,y)))
T:Type, R, R':(TT).
x, y:T. R(x,y) R'(x,y)) (Sym(T;x,y.R(x,y)) Sym(T;x,y.R'(x,y)))
Q Q
T Qx:A. B(x)