Nuprl Lemma : rel_plus_trans
11,40
postcript
pdf
T
:Type,
R
:(
T
T
prop{i:l}). trans(
T
;
x
,
y
.(
x
rel_plus(
T
;
R
)
y
))
latex
Definitions
x
:
A
.
B
(
x
)
,
prop{i:l}
,
trans(
T
;
x
,
y
.
E
(
x
;
y
))
,
x
f
y
,
rel_plus(
T
;
R
)
,
P
Q
,
x
:
A
.
B
(
x
)
,
t
T
,
,
subtype(
S
;
T
)
Lemmas
rel
exp
wf
,
nat
plus
inc
,
rel
plus
wf
,
rel
exp
add
origin
T:Type, R:(T
Tprop{i:l}). trans(T; x,y.(x rel_plus(T; R) y)) T:Type, R:(TTprop{i:l}). trans(T; x,y.(x rel_plus(T; R) y)) x:A. B(x)
Q
x:A. B(x)
T
