Nuprl Lemma : eu-mk-seg_wf
∀[e:EuclideanStructure]. ∀[a,b:Point]. (ab ∈ Segment)
Proof
Definitions occuring in Statement :
eu-mk-seg: ab,
eu-segment: Segment,
eu-point: Point,
euclidean-structure: EuclideanStructure,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
eu-mk-seg: ab,
subtype_rel: A ⊆r B,
eu-segment: Segment
Lemmas referenced :
eu-point_wf,
euclidean-structure_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
independent_pairEquality,
hypothesisEquality,
hypothesis,
applyEquality,
lambdaEquality,
sqequalHypSubstitution,
productEquality,
lemma_by_obid,
isectElimination,
thin,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[e:EuclideanStructure]. \mforall{}[a,b:Point]. (ab \mmember{} Segment)
Date html generated:
2016_05_18-AM-06_36_14
Last ObjectModification:
2015_12_28-AM-09_26_07
Theory : euclidean!geometry
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