Nuprl Lemma : tag-case_wf
∀[T:Type]. ∀[z:Atom]. (z:T ∈ Type)
Proof
Definitions occuring in Statement :
tag-case: z:T,
uall: ∀[x:A]. B[x],
member: t ∈ T,
atom: Atom,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
tag-case: z:T
Lemmas referenced :
ifthenelse_wf,
eq_atom_wf,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
productEquality,
atomEquality,
thin,
instantiate,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
hypothesisEquality,
hypothesis,
universeEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[T:Type]. \mforall{}[z:Atom]. (z:T \mmember{} Type)
Date html generated:
2016_05_15-PM-06_43_49
Last ObjectModification:
2015_12_27-AM-11_49_55
Theory : general
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