Nuprl Lemma : lastn_wf

∀[A:Type]. ∀[L:A List]. ∀[n:ℤ].  (lastn(n;L) ∈ A List)


Proof




Definitions occuring in Statement :  lastn: lastn(n;L),  list: T List,  uall: ∀[x:A]. B[x],  member: t ∈ T,  int: ℤ,  universe: Type
Definitions unfolded in proof :  lastn: lastn(n;L),  uall: ∀[x:A]. B[x],  member: t ∈ T
Lemmas referenced :  nth_tl_wf,  subtract_wf,  length_wf,  list_wf
Rules used in proof :  sqequalSubstitution,  sqequalRule,  sqequalReflexivity,  sqequalTransitivity,  computationStep,  isect_memberFormation,  introduction,  cut,  lemma_by_obid,  sqequalHypSubstitution,  isectElimination,  thin,  hypothesisEquality,  hypothesis,  axiomEquality,  equalityTransitivity,  equalitySymmetry,  intEquality,  isect_memberEquality,  because_Cache,  universeEquality

Latex:
\mforall{}[A:Type].  \mforall{}[L:A  List].  \mforall{}[n:\mBbbZ{}].    (lastn(n;L)  \mmember{}  A  List)



Date html generated: 2016_05_15-PM-03_35_37
Last ObjectModification: 2015_12_27-PM-01_14_04

Theory : general


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