Nuprl Lemma : xxorder_eq_order
13,42
postcript
pdf
T
:Type,
R
:(
T
T
). order(
T
;
R
) = Order(
T
;
x
,
y
.
R
(
x
,
y
))
latex
Up
gen
algebra
1
Definitions of Statement
refl(
T
;
E
)
,
trans(
T
;
E
)
,
anti_sym(
T
;
R
)
,
order(
T
;
R
)
Definitions
x
,
y
.
t
(
x
;
y
)
,
t
T
,
anti_sym(
T
;
R
)
,
trans(
T
;
E
)
,
refl(
T
;
E
)
,
P
&
Q
,
Order(
T
;
x
,
y
.
R
(
x
;
y
))
,
order(
T
;
R
)
,
,
x
:
A
.
B
(
x
)
,
x
(
s1
,
s2
)
Lemmas
anti
sym
wf
,
trans
wf
,
refl
wf
origin
T:Type, R:(T
T
). order(T;R) = Order(T;x,y.R(x,y)) 
T:Type, R:(TT). order(T;R) = Order(T;x,y.R(x,y)) 
x,y. t(x;y) Tx:A. B(x)