Nuprl Lemma : geo-strict-between_wf
∀[g:GeometryPrimitives]. ∀[a,b,c:Point]. (a-b-c ∈ ℙ)
Proof
Definitions occuring in Statement :
geo-strict-between: a-b-c,
geo-primitives: GeometryPrimitives,
geo-point: Point,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
and: P ∧ Q,
prop: ℙ,
geo-strict-between: a-b-c,
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
geo-primitives_wf,
geo-point_wf,
geo-sep_wf,
geo-between_wf
Rules used in proof :
because_Cache,
isect_memberEquality,
equalitySymmetry,
equalityTransitivity,
axiomEquality,
hypothesis,
hypothesisEquality,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
productEquality,
sqequalRule,
cut,
introduction,
isect_memberFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}[g:GeometryPrimitives]. \mforall{}[a,b,c:Point]. (a-b-c \mmember{} \mBbbP{})
Date html generated:
2017_10_02-PM-03_26_01
Last ObjectModification:
2017_08_04-PM-06_45_24
Theory : euclidean!plane!geometry
Home
Index