Nuprl Lemma : ss-basic_wf
∀[X:SeparationSpace]. (ss-basic(X) ∈ Type)
Proof
Definitions occuring in Statement :
ss-basic: ss-basic(X),
separation-space: SeparationSpace,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
ss-basic: ss-basic(X)
Lemmas referenced :
list_wf,
ss-point_wf,
ss-fun_wf,
real-ss_wf,
real_wf,
separation-space_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
productEquality,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[X:SeparationSpace]. (ss-basic(X) \mmember{} Type)
Date html generated:
2020_05_20-PM-01_21_47
Last ObjectModification:
2018_07_06-PM-01_46_36
Theory : intuitionistic!topology
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