Nuprl Lemma : listp_wf
∀[A:Type]. (A List+ ∈ Type)
Proof
Definitions occuring in Statement :
listp: A List+,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
listp: A List+,
prop: ℙ
Lemmas referenced :
list_wf,
less_than_wf,
length_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
setEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
natural_numberEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeEquality
Latex:
\mforall{}[A:Type]. (A List\msupplus{} \mmember{} Type)
Date html generated:
2016_05_14-AM-06_34_56
Last ObjectModification:
2015_12_26-PM-00_35_16
Theory : list_0
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