Nuprl Lemma : bar_wf
∀[T:Type]. (bar(T) ∈ Type)
Proof
Definitions occuring in Statement :
bar: bar(T),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
bar: bar(T)
Lemmas referenced :
partial_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeEquality
Latex:
\mforall{}[T:Type]. (bar(T) \mmember{} Type)
Date html generated:
2016_05_15-PM-10_03_36
Last ObjectModification:
2016_01_05-PM-05_49_01
Theory : bar!type
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