Nuprl Lemma : pgeo-incident-class_wf
∀[g:ProjectivePlane]. ∀[pc:PointClass]. ∀[lc:LineClass]. (pc I lc ∈ ℙ)
Proof
Definitions occuring in Statement :
pgeo-incident-class: pc I lc,
pgeo-line-class: LineClass,
pgeo-point-class: PointClass,
projective-plane: ProjectivePlane,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
pgeo-incident-class: pc I lc,
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
projective-plane_wf,
pgeo-point-class_wf,
pgeo-line-class_wf,
pgeo-plsep-class_wf,
not_wf
Rules used in proof :
because_Cache,
isect_memberEquality,
equalitySymmetry,
equalityTransitivity,
axiomEquality,
hypothesis,
hypothesisEquality,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
sqequalRule,
cut,
introduction,
isect_memberFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}[g:ProjectivePlane]. \mforall{}[pc:PointClass]. \mforall{}[lc:LineClass]. (pc I lc \mmember{} \mBbbP{})
Date html generated:
2018_05_22-PM-00_57_04
Last ObjectModification:
2018_01_03-PM-03_52_35
Theory : euclidean!plane!geometry
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