Nuprl Lemma : bm_insert'_wf
∀[T,Key:Type]. ∀[compare:bm_compare(Key)]. ∀[p:Key × T]. ∀[m:binary-map(T;Key)].
(bm_insert'(compare;p;m) ∈ binary-map(T;Key))
Proof
Definitions occuring in Statement :
bm_insert': bm_insert'(compare;p;m),
bm_compare: bm_compare(K),
binary-map: binary-map(T;Key),
uall: ∀[x:A]. B[x],
member: t ∈ T,
product: x:A × B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
bm_insert': bm_insert'(compare;p;m)
Latex:
\mforall{}[T,Key:Type]. \mforall{}[compare:bm\_compare(Key)]. \mforall{}[p:Key \mtimes{} T]. \mforall{}[m:binary-map(T;Key)].
(bm\_insert'(compare;p;m) \mmember{} binary-map(T;Key))
Date html generated:
2016_05_17-PM-01_41_25
Last ObjectModification:
2015_12_28-PM-08_08_48
Theory : binary-map
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