Nuprl Lemma : pgeo-incident_wf
∀[g:ProjGeomPrimitives]. ∀[a:Point]. ∀[b:Line].  (a I b ∈ ℙ)
Proof
Definitions occuring in Statement : 
pgeo-incident: a I b
, 
pgeo-primitives: ProjGeomPrimitives
, 
pgeo-line: Line
, 
pgeo-point: Point
, 
uall: ∀[x:A]. B[x]
, 
prop: ℙ
, 
member: t ∈ T
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
pgeo-incident: a I b
Lemmas referenced : 
not_wf, 
pgeo-plsep_wf, 
pgeo-line_wf, 
pgeo-point_wf, 
pgeo-primitives_wf
Rules used in proof : 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
isect_memberFormation, 
introduction, 
cut, 
sqequalRule, 
extract_by_obid, 
sqequalHypSubstitution, 
isectElimination, 
thin, 
hypothesisEquality, 
hypothesis, 
axiomEquality, 
equalityTransitivity, 
equalitySymmetry, 
isect_memberEquality, 
because_Cache
Latex:
\mforall{}[g:ProjGeomPrimitives].  \mforall{}[a:Point].  \mforall{}[b:Line].    (a  I  b  \mmember{}  \mBbbP{})
Date html generated:
2018_05_22-PM-00_23_56
Last ObjectModification:
2017_10_16-PM-08_32_59
Theory : euclidean!plane!geometry
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