Nuprl Lemma : sq_stable__geo-eq
∀[e:GeometryPrimitives]. ∀[a,b:Point]. SqStable(a ≡ b)
Proof
Definitions occuring in Statement :
geo-eq: a ≡ b,
geo-primitives: GeometryPrimitives,
geo-point: Point,
sq_stable: SqStable(P),
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
implies: P ⇒ Q,
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
geo-primitives_wf,
geo-point_wf,
geo-eq_wf,
sq_stable__from_stable,
stable_geo-eq
Rules used in proof :
independent_functionElimination,
hypothesisEquality,
thin,
isectElimination,
sqequalHypSubstitution,
hypothesis,
isect_memberFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution,
extract_by_obid,
introduction,
cut
Latex:
\mforall{}[e:GeometryPrimitives]. \mforall{}[a,b:Point]. SqStable(a \mequiv{} b)
Date html generated:
2017_10_02-PM-03_26_12
Last ObjectModification:
2017_08_04-PM-06_12_28
Theory : euclidean!plane!geometry
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