Nuprl Lemma : ml_merge_int_wf
∀[as,bs:ℤ List]. (ml_merge_int(as;bs) ∈ ℤ List)
Proof
Definitions occuring in Statement :
ml_merge_int: ml_merge_int(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,
uimplies: b supposing a
Lemmas referenced :
ml_merge_int-sq,
merge-int_wf,
subtype_rel_self,
list_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
intEquality,
independent_isectElimination,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[as,bs:\mBbbZ{} List]. (ml\_merge\_int(as;bs) \mmember{} \mBbbZ{} List)
Date html generated:
2017_09_29-PM-05_51_24
Last ObjectModification:
2017_05_11-PM-03_33_51
Theory : ML
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