Nuprl Lemma : lookup-list-map-find_wf
∀[Key,Value:Type]. ∀[deqKey:EqDecider(Key)]. ∀[key:Key]. ∀[m:lookup-list-map-type(Key;Value)].
(lookup-list-map-find(deqKey;key;m) ∈ Value?)
Proof
Definitions occuring in Statement :
lookup-list-map-find: lookup-list-map-find(deqKey;key;m),
lookup-list-map-type: lookup-list-map-type(Key;Value),
deq: EqDecider(T),
uall: ∀[x:A]. B[x],
unit: Unit,
member: t ∈ T,
union: left + right,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
lookup-list-map-find: lookup-list-map-find(deqKey;key;m),
lookup-list-map-type: lookup-list-map-type(Key;Value)
Latex:
\mforall{}[Key,Value:Type]. \mforall{}[deqKey:EqDecider(Key)]. \mforall{}[key:Key]. \mforall{}[m:lookup-list-map-type(Key;Value)].
(lookup-list-map-find(deqKey;key;m) \mmember{} Value?)
Date html generated:
2016_05_17-PM-01_50_46
Last ObjectModification:
2015_12_28-PM-08_50_33
Theory : datatype-signatures
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