Nuprl Lemma : stable_geo-eq
∀[e:GeometryPrimitives]. ∀[a,b:Point]. Stable{a ≡ b}
Proof
Definitions occuring in Statement :
geo-eq: a ≡ b,
geo-primitives: GeometryPrimitives,
geo-point: Point,
stable: Stable{P},
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
prop: ℙ,
false: False,
implies: P ⇒ Q,
not: ¬A,
uimplies: b supposing a,
stable: Stable{P},
geo-eq: a ≡ b,
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
geo-primitives_wf,
geo-point_wf,
geo-eq_wf,
not_wf,
geo-sep_wf,
stable__not
Rules used in proof :
voidElimination,
equalitySymmetry,
equalityTransitivity,
because_Cache,
dependent_functionElimination,
lambdaEquality,
isect_memberEquality,
hypothesis,
hypothesisEquality,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
sqequalRule,
cut,
introduction,
isect_memberFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}[e:GeometryPrimitives]. \mforall{}[a,b:Point]. Stable\{a \mequiv{} b\}
Date html generated:
2017_10_02-PM-03_26_11
Last ObjectModification:
2017_08_04-PM-06_12_04
Theory : euclidean!plane!geometry
Home
Index