Nuprl Lemma : sum-deq_wf
0,22
postcript
pdf
A
,
B
:Type,
a
:EqDecider(
A
),
b
:EqDecider(
B
).
sum-deq(
A
;
B
;
a
;
b
)
(
p
,
q
:
A
+
B
.
p
=
q
sumdeq(
a
;
b
)(
p
,
q
))
latex
Definitions
sumdeq-property
,
decidable
false
,
sum-deq-aux{v:l,i:l}(
A
;
B
;
a
;
b
)
,
sum-deq(
A
;
B
;
a
;
b
)
,
P
Q
,
P
&
Q
,
EqDecider(
T
)
,
x
:
A
.
B
(
x
)
,
t
T
Lemmas
sum-deq-aux
wf
,
deq
wf
origin
A, B:Type, a:EqDecider(A), b:EqDecider(B).
(p, q:A+B. p = q 
sumdeq(a;b)(p,q)) A, B:Type, a:EqDecider(A), b:EqDecider(B).
(p, q:A+B. p = q sumdeq(a;b)(p,q)) Qx:A. B(x) T