Nuprl Lemma : member_wf
∀[A:Type]. ∀[a:A]. (a ∈ A ∈ Type)
Proof
Definitions occuring in Statement :
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
prop: ℙ
Lemmas referenced :
equal_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
Error :universeIsType,
isect_memberEquality,
universeEquality
Latex:
\mforall{}[A:Type]. \mforall{}[a:A]. (a \mmember{} A \mmember{} Type)
Date html generated:
2019_06_20-AM-11_14_36
Last ObjectModification:
2018_09_26-AM-10_42_00
Theory : core_2
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