Nuprl Lemma : extd-nameset_wf
∀[L:Cname List]. (extd-nameset(L) ∈ Type)
Proof
Definitions occuring in Statement :
extd-nameset: extd-nameset(L),
coordinate_name: Cname,
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
extd-nameset: extd-nameset(L)
Lemmas referenced :
b-union_wf,
nameset_wf,
int_seg_wf,
list_wf,
coordinate_name_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
natural_numberEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[L:Cname List]. (extd-nameset(L) \mmember{} Type)
Date html generated:
2016_05_20-AM-09_28_57
Last ObjectModification:
2015_12_28-PM-04_47_56
Theory : cubical!sets
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