Nuprl Lemma : int-decr-map-empty-prop
∀[Value:Type]. ∀[k:ℤ]. (¬↑int-decr-map-inDom(k;int-decr-map-empty()))
Proof
Definitions occuring in Statement :
int-decr-map-empty: int-decr-map-empty(),
int-decr-map-inDom: int-decr-map-inDom(k;m),
assert: ↑b,
uall: ∀[x:A]. B[x],
not: ¬A,
int: ℤ,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
not: ¬A,
implies: P ⇒ Q,
false: False,
int-decr-map-empty: int-decr-map-empty(),
int-decr-map-inDom: int-decr-map-inDom(k;m),
int-decr-map-find: int-decr-map-find(k;m),
find-combine: find-combine(cmp;l),
list_ind: list_ind,
nil: [],
it: ⋅,
isl: isl(x),
assert: ↑b,
ifthenelse: if b then t else f fi ,
bfalse: ff,
prop: ℙ
Latex:
\mforall{}[Value:Type]. \mforall{}[k:\mBbbZ{}]. (\mneg{}\muparrow{}int-decr-map-inDom(k;int-decr-map-empty()))
Date html generated:
2016_05_17-PM-01_48_35
Last ObjectModification:
2015_12_28-PM-08_50_38
Theory : datatype-signatures
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