Nuprl Lemma : geo-strict-between-same2
∀[e:BasicGeometry-]. ∀[a,b:Point]. False supposing a-b-a
Proof
Definitions occuring in Statement :
basic-geometry-: BasicGeometry-,
geo-strict-between: a-b-c,
geo-point: Point,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
false: False
Definitions unfolded in proof :
guard: {T},
subtype_rel: A ⊆r B,
prop: ℙ,
false: False,
implies: P ⇒ Q,
not: ¬A,
uimplies: b supposing a,
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
geo-point_wf,
Error :basic-geo-primitives_wf,
Error :basic-geo-structure_wf,
basic-geometry-_wf,
subtype_rel_transitivity,
basic-geometry--subtype,
geo-strict-between_wf,
geo-strict-between-same
Rules used in proof :
independent_isectElimination,
instantiate,
applyEquality,
sqequalRule,
voidElimination,
independent_functionElimination,
hypothesisEquality,
thin,
isectElimination,
sqequalHypSubstitution,
hypothesis,
isect_memberFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution,
extract_by_obid,
introduction,
cut
Latex:
\mforall{}[e:BasicGeometry-]. \mforall{}[a,b:Point]. False supposing a-b-a
Date html generated:
2017_10_02-PM-04_42_37
Last ObjectModification:
2017_08_05-AM-08_41_44
Theory : euclidean!plane!geometry
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