Nuprl Lemma : pgeo-peq_wf
∀[g:ProjGeomPrimitives]. ∀[a,b:Point]. (a ≡ b ∈ ℙ)
Proof
Definitions occuring in Statement :
pgeo-peq: a ≡ b,
pgeo-primitives: ProjGeomPrimitives,
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-peq: a ≡ b
Lemmas referenced :
not_wf,
pgeo-psep_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,b:Point]. (a \mequiv{} b \mmember{} \mBbbP{})
Date html generated:
2018_05_22-PM-00_25_30
Last ObjectModification:
2017_10_20-PM-01_00_52
Theory : euclidean!plane!geometry
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