Nuprl Lemma : list-wf

∀[A:Type]. (A List ∈ Type)


Proof




Definitions occuring in Statement :  list: T List,  uall: ∀[x:A]. B[x],  member: t ∈ T,  universe: Type
Definitions unfolded in proof :  uall: ∀[x:A]. B[x],  member: t ∈ T
Lemmas referenced :  list_wf
Rules used in proof :  sqequalSubstitution,  sqequalTransitivity,  computationStep,  sqequalReflexivity,  isect_memberFormation,  introduction,  cut,  lemma_by_obid,  sqequalHypSubstitution,  isectElimination,  thin,  hypothesisEquality,  hypothesis,  sqequalRule,  axiomEquality,  equalityTransitivity,  equalitySymmetry,  universeEquality

Latex:
\mforall{}[A:Type].  (A  List  \mmember{}  Type)



Date html generated: 2016_05_14-AM-06_25_33
Last ObjectModification: 2015_12_26-PM-00_42_26

Theory : list_0


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