Nuprl Lemma : extd-nameset-respects-equality
∀[L:Cname List]. ∀[T:Type]. respects-equality(extd-nameset(L);T)
Proof
Definitions occuring in Statement :
extd-nameset: extd-nameset(L),
coordinate_name: Cname,
list: T List,
respects-equality: respects-equality(S;T),
uall: ∀[x:A]. B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a
Lemmas referenced :
subtype-base-respects-equality,
extd-nameset_wf,
extd-nameset_subtype_base,
istype-universe,
list_wf,
coordinate_name_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
independent_isectElimination,
instantiate,
universeEquality,
universeIsType
Latex:
\mforall{}[L:Cname List]. \mforall{}[T:Type]. respects-equality(extd-nameset(L);T)
Date html generated:
2019_11_05-PM-00_24_04
Last ObjectModification:
2018_12_11-PM-02_35_42
Theory : cubical!sets
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