Nuprl Lemma : geo-plsep_wf
∀[e:GeometryPrimitives]. ∀[p:Point]. ∀[l:Line].  (p # l ∈ ℙ)
Proof
Definitions occuring in Statement : 
geo-plsep: p # l
, 
geo-line: Line
, 
geo-primitives: GeometryPrimitives
, 
geo-point: Point
, 
uall: ∀[x:A]. B[x]
, 
prop: ℙ
, 
member: t ∈ T
Definitions unfolded in proof : 
all: ∀x:A. B[x]
, 
pi2: snd(t)
, 
pi1: fst(t)
, 
geo-line: Line
, 
geo-plsep: p # l
, 
member: t ∈ T
, 
uall: ∀[x:A]. B[x]
Lemmas referenced : 
geo-primitives_wf, 
geo-point_wf, 
geo-line_wf, 
geo-lsep_wf
Rules used in proof : 
because_Cache, 
isect_memberEquality, 
dependent_functionElimination, 
equalitySymmetry, 
equalityTransitivity, 
axiomEquality, 
hypothesis, 
productElimination, 
hypothesisEquality, 
thin, 
isectElimination, 
sqequalHypSubstitution, 
extract_by_obid, 
sqequalRule, 
cut, 
introduction, 
isect_memberFormation, 
sqequalReflexivity, 
computationStep, 
sqequalTransitivity, 
sqequalSubstitution
Latex:
\mforall{}[e:GeometryPrimitives].  \mforall{}[p:Point].  \mforall{}[l:Line].    (p  \#  l  \mmember{}  \mBbbP{})
Date html generated:
2018_05_22-PM-01_07_08
Last ObjectModification:
2018_05_21-AM-01_33_18
Theory : euclidean!plane!geometry
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