Nuprl Lemma : ESAtomAxiomTrivial
0,22
postcript
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T
:(Id
Id
Type),
V
:(Id
Knd
Type),
a
:(
i
,
x
:Id. AtomFree(Type;
T
(
i
,
x
))),
b
:(
i
:Id,
k
:Knd. AtomFree(Type;
V
(
i
,
k
))).
<
a
,
b
>
ESAtomAxiom{i:l}(
T
;
V
)
latex
Definitions
Type
,
t
T
,
Id
,
x
:
A
B
(
x
)
,
Knd
,
f
(
a
)
,
x
:
A
.
B
(
x
)
,
AtomFree(
T
;
x
)
,
Prop
,
x
:
A
B
(
x
)
,
<
a
,
b
>
,
ESAtomAxiom{i:l}(
T
;
V
)
Lemmas
atom-free
wf
,
Knd
wf
,
Id
wf
origin