Nuprl Lemma : eu-proper-segment_wf
∀[e:EuclideanStructure]. (ProperSegment ∈ Type)
Proof
Definitions occuring in Statement :
eu-proper-segment: ProperSegment,
euclidean-structure: EuclideanStructure,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
eu-proper-segment: ProperSegment,
prop: ℙ
Lemmas referenced :
eu-segment_wf,
eu-seg-proper_wf,
euclidean-structure_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
setEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[e:EuclideanStructure]. (ProperSegment \mmember{} Type)
Date html generated:
2016_05_18-AM-06_36_36
Last ObjectModification:
2015_12_28-AM-09_25_38
Theory : euclidean!geometry
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