Nuprl Lemma : ndlist_wf
∀[T:Type]. (ndlist(T) ∈ Type)
Proof
Definitions occuring in Statement :
ndlist: ndlist(T),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
ndlist: ndlist(T),
prop: ℙ
Lemmas referenced :
list_wf,
no_repeats_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
setEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeEquality
Latex:
\mforall{}[T:Type]. (ndlist(T) \mmember{} Type)
Date html generated:
2016_05_14-PM-03_31_05
Last ObjectModification:
2015_12_26-PM-06_02_22
Theory : decidable!equality
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