Nuprl Lemma : lookup-list-map-type-prop
∀[Key,Value:Type].
(valueall-type(lookup-list-map-type(Key;Value))) supposing (valueall-type(Value) and valueall-type(Key))
Proof
Definitions occuring in Statement :
lookup-list-map-type: lookup-list-map-type(Key;Value),
valueall-type: valueall-type(T),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
lookup-list-map-type: lookup-list-map-type(Key;Value),
so_lambda: λ2x.t[x],
so_apply: x[s],
implies: P ⇒ Q,
all: ∀x:A. B[x],
valueall-type: valueall-type(T),
has-value: (a)↓,
prop: ℙ
Latex:
\mforall{}[Key,Value:Type].
(valueall-type(lookup-list-map-type(Key;Value))) supposing
(valueall-type(Value) and
valueall-type(Key))
Date html generated:
2016_05_17-PM-01_50_38
Last ObjectModification:
2015_12_28-PM-08_50_31
Theory : datatype-signatures
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