Nuprl Lemma : guard_wf
∀[T:Type]. ({T} ∈ Type)
Proof
Definitions occuring in Statement :
uall: ∀[x:A]. B[x],
guard: {T},
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
guard: {T}
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
hypothesisEquality,
sqequalHypSubstitution,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
Error :universeIsType,
universeEquality
Latex:
\mforall{}[T:Type]. (\{T\} \mmember{} Type)
Date html generated:
2019_06_20-AM-11_14_26
Last ObjectModification:
2018_09_26-AM-10_41_55
Theory : core_2
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