Nuprl Lemma : lookup-list-map-isEmpty_wf
∀[Key,Value:Type]. ∀[m:lookup-list-map-type(Key;Value)]. (lookup-list-map-isEmpty(m) ∈ 𝔹)
Proof
Definitions occuring in Statement :
lookup-list-map-isEmpty: lookup-list-map-isEmpty(m),
lookup-list-map-type: lookup-list-map-type(Key;Value),
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
lookup-list-map-isEmpty: lookup-list-map-isEmpty(m),
lookup-list-map-type: lookup-list-map-type(Key;Value),
subtype_rel: A ⊆r B,
uimplies: b supposing a,
top: Top
Latex:
\mforall{}[Key,Value:Type]. \mforall{}[m:lookup-list-map-type(Key;Value)]. (lookup-list-map-isEmpty(m) \mmember{} \mBbbB{})
Date html generated:
2016_05_17-PM-01_51_05
Last ObjectModification:
2015_12_28-PM-08_50_22
Theory : datatype-signatures
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