Nuprl Lemma : mk-tagged_wf2
∀[B:Type]. ∀[tg:Atom]. ∀[x:B]. (mk-tagged(tg;x) ∈ tg×B)
Proof
Definitions occuring in Statement :
mk-tagged: mk-tagged(tg;x),
tag-by: z×T,
uall: ∀[x:A]. B[x],
member: t ∈ T,
atom: Atom,
universe: Type
Definitions unfolded in proof :
tag-by: z×T,
uall: ∀[x:A]. B[x],
member: t ∈ T,
mk-tagged: mk-tagged(tg;x),
subtype_rel: A ⊆r B,
prop: ℙ
Lemmas referenced :
equal-wf-base,
atom_subtype_base
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
independent_pairEquality,
dependent_set_memberEquality,
hypothesisEquality,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
atomEquality,
applyEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache,
universeEquality
Latex:
\mforall{}[B:Type]. \mforall{}[tg:Atom]. \mforall{}[x:B]. (mk-tagged(tg;x) \mmember{} tg\mtimes{}B)
Date html generated:
2018_05_21-PM-08_42_53
Last ObjectModification:
2017_07_26-PM-06_06_47
Theory : general
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