Nuprl Lemma : tag-by_wf
∀[T:Type]. ∀[z:Atom]. (z×T ∈ Type)
Proof
Definitions occuring in Statement :
tag-by: 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-by: z×T,
subtype_rel: A ⊆r B,
prop: ℙ
Lemmas referenced :
equal-wf-base,
atom_subtype_base
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
productEquality,
setEquality,
atomEquality,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
applyEquality,
hypothesis,
cumulativity,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache,
universeEquality
Latex:
\mforall{}[T:Type]. \mforall{}[z:Atom]. (z\mtimes{}T \mmember{} Type)
Date html generated:
2018_05_21-PM-08_41_20
Last ObjectModification:
2017_07_26-PM-06_05_15
Theory : general
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