Nuprl Lemma : rel_star_symmetric_2
4,23
postcript
pdf
T
:Type,
R
:(
T
T
Prop),
x
,
y
:
T
. (Sym
x
,
y
:
T
.
x
R
y
)
(
x
(
R
^*)
y
)
(
y
(
R
^*)
x
)
latex
Definitions
R
^*
,
x
,
y
.
t
(
x
;
y
)
,
x
f
y
,
Prop
,
t
T
,
Sym
x
,
y
:
T
.
E
(
x
;
y
)
,
x
:
A
.
B
(
x
)
,
P
Q
Lemmas
rel
star
symmetric
,
sym
wf
,
rel
star
wf
origin
T:Type, R:(T
TProp), x, y:T. (Sym x,y:T. x R y) 
(x (R^*) y) (y (R^*) x) T:Type, R:(TTProp), x, y:T. (Sym x,y:T. x R y) (x (R^*) y) (y (R^*) x) 
x,y. t(x;y)
Tx:A. B(x) Q