Nuprl Lemma : right-angle_wf
∀[e:GeometryPrimitives]. ∀[a,b,c:Point]. (Rabc ∈ ℙ)
Proof
Definitions occuring in Statement :
right-angle: Rabc,
geo-primitives: GeometryPrimitives,
geo-point: Point,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
so_apply: x[s],
prop: ℙ,
implies: P ⇒ Q,
so_lambda: λ2x.t[x],
right-angle: Rabc,
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
geo-primitives_wf,
geo-congruent_wf,
geo-midpoint_wf,
geo-point_wf,
all_wf
Rules used in proof :
because_Cache,
isect_memberEquality,
equalitySymmetry,
equalityTransitivity,
axiomEquality,
functionEquality,
lambdaEquality,
hypothesis,
hypothesisEquality,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
sqequalRule,
cut,
introduction,
isect_memberFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}[e:GeometryPrimitives]. \mforall{}[a,b,c:Point]. (Rabc \mmember{} \mBbbP{})
Date html generated:
2018_05_22-AM-11_52_13
Last ObjectModification:
2018_05_21-AM-01_12_59
Theory : euclidean!plane!geometry
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