Nuprl Lemma : ml-append_wf
∀[T:Type]. ∀[as,bs:T List]. (ml-append(as;bs) ∈ T List) supposing valueall-type(T)
Proof
Definitions occuring in Statement :
ml-append: ml-append(as;bs),
list: T List,
valueall-type: valueall-type(T),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a
Lemmas referenced :
ml-append-sq,
eager-append_wf,
list_wf,
valueall-type_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
independent_isectElimination,
hypothesis,
cumulativity,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache,
universeEquality
Latex:
\mforall{}[T:Type]. \mforall{}[as,bs:T List]. (ml-append(as;bs) \mmember{} T List) supposing valueall-type(T)
Date html generated:
2017_09_29-PM-05_51_10
Last ObjectModification:
2017_05_19-PM-05_38_59
Theory : ML
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