Nuprl Lemma : ml-insert-int_wf
∀[l:ℤ List]. ∀[x:ℤ]. (ml-insert-int(x;l) ∈ ℤ List)
Proof
Definitions occuring in Statement :
ml-insert-int: ml-insert-int(x;l),
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-insert-int-sq,
insert-int_wf,
subtype_rel_self,
list_wf
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
hypothesis,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
sqequalRule,
intEquality,
independent_isectElimination
Latex:
\mforall{}[l:\mBbbZ{} List]. \mforall{}[x:\mBbbZ{}]. (ml-insert-int(x;l) \mmember{} \mBbbZ{} List)
Date html generated:
2017_09_29-PM-05_51_06
Last ObjectModification:
2017_05_10-PM-06_22_37
Theory : ML
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