Nuprl Lemma : eu-seg-proper_wf
∀[e:EuclideanStructure]. ∀[s:Segment]. (proper(s) ∈ ℙ)
Proof
Definitions occuring in Statement :
eu-seg-proper: proper(s),
eu-segment: Segment,
euclidean-structure: EuclideanStructure,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
eu-seg-proper: proper(s)
Lemmas referenced :
not_wf,
equal_wf,
eu-point_wf,
eu-seg1_wf,
eu-seg2_wf,
eu-segment_wf,
euclidean-structure_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[e:EuclideanStructure]. \mforall{}[s:Segment]. (proper(s) \mmember{} \mBbbP{})
Date html generated:
2016_05_18-AM-06_36_31
Last ObjectModification:
2015_12_28-AM-09_25_47
Theory : euclidean!geometry
Home
Index