Nuprl Lemma : es-locl-trichotomy
11,40
postcript
pdf
the_es
:ES,
e
,
e'
:E. (loc(
e
) = loc(
e'
)
Id)
((
e
<loc
e'
)
(
e
=
e'
)
(
e'
<loc
e
))
latex
Definitions
P
Q
,
P
Q
,
left
+
right
,
(
e
<loc
e'
)
,
s
=
t
,
Id
,
E
,
ES
,
x
:
A
.
B
(
x
)
,
x
:
A
B
(
x
)
,
P
&
Q
,
A
c
B
,
x
:
A
B
(
x
)
Lemmas
es-axioms
origin
the_es:ES, e, e':E. (loc(e) = loc(e') 
Id) 
((e <loc e') 
(e = e') (e' <loc e)) the_es:ES, e, e':E. (loc(e) = loc(e') Id) ((e <loc e') (e = e') (e' <loc e)) Q Qx:A. B(x)
B(x)
B
B(x)