Nuprl Lemma : merge-int-accum_wf
∀[as,bs:ℤ List]. (merge-int-accum(as;bs) ∈ ℤ List)
Proof
Definitions occuring in Statement :
merge-int-accum: merge-int-accum(as;bs),
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
int: ℤ
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
merge-int-accum: merge-int-accum(as;bs),
so_lambda: λ2x y.t[x; y],
uimplies: b supposing a,
so_apply: x[s1;s2]
Lemmas referenced :
eager-accum_wf,
list_wf,
insert-int_wf,
subtype_rel_self,
list-valueall-type,
int-valueall-type
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
intEquality,
because_Cache,
hypothesis,
hypothesisEquality,
lambdaEquality,
independent_isectElimination,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality
Latex:
\mforall{}[as,bs:\mBbbZ{} List]. (merge-int-accum(as;bs) \mmember{} \mBbbZ{} List)
Date html generated:
2017_09_29-PM-05_50_39
Last ObjectModification:
2017_05_03-PM-00_17_06
Theory : list_0
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