Nuprl Lemma : path-ss_wf
∀[X:SeparationSpace]. (Path(X) ∈ SeparationSpace)
Proof
Definitions occuring in Statement :
path-ss: Path(X),
separation-space: SeparationSpace,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
path-ss: Path(X)
Lemmas referenced :
ss-fun_wf,
unit-ss_wf,
separation-space_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesis,
hypothesisEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[X:SeparationSpace]. (Path(X) \mmember{} SeparationSpace)
Date html generated:
2020_05_20-PM-01_20_10
Last ObjectModification:
2018_06_29-PM-05_47_38
Theory : intuitionistic!topology
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