Nuprl Lemma : geo-lsep_wf
∀[g:GeometryPrimitives]. ∀[a,b,c:Point]. (a # bc ∈ ℙ)
Proof
Definitions occuring in Statement :
geo-lsep: a # bc,
geo-primitives: GeometryPrimitives,
geo-point: Point,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
or: P ∨ Q,
prop: ℙ,
geo-lsep: a # bc,
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
geo-primitives_wf,
geo-point_wf,
geo-left_wf
Rules used in proof :
universeIsType,
isectIsTypeImplies,
isect_memberEquality_alt,
inhabitedIsType,
equalitySymmetry,
equalityTransitivity,
axiomEquality,
hypothesis,
hypothesisEquality,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
unionEquality,
sqequalRule,
cut,
introduction,
isect_memberFormation_alt,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}[g:GeometryPrimitives]. \mforall{}[a,b,c:Point]. (a \# bc \mmember{} \mBbbP{})
Date html generated:
2019_10_29-AM-09_12_07
Last ObjectModification:
2019_10_25-PM-01_20_56
Theory : euclidean!plane!geometry
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