Nuprl Lemma : sq_stable__pgeo-peq
∀[g:ProjGeomPrimitives]. ∀[c,d:Point]. SqStable(c ≡ d)
Proof
Definitions occuring in Statement :
pgeo-peq: a ≡ b,
pgeo-primitives: ProjGeomPrimitives,
pgeo-point: Point,
sq_stable: SqStable(P),
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
prop: ℙ,
false: False,
not: ¬A,
implies: P ⇒ Q,
sq_stable: SqStable(P),
member: t ∈ T,
uall: ∀[x:A]. B[x],
pgeo-peq: a ≡ b
Lemmas referenced :
pgeo-primitives_wf,
pgeo-point_wf,
not_wf,
squash_wf,
pgeo-psep_wf,
sq_stable__not
Rules used in proof :
voidElimination,
isect_memberEquality,
because_Cache,
dependent_functionElimination,
lambdaEquality,
hypothesis,
hypothesisEquality,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
cut,
introduction,
isect_memberFormation,
computationStep,
sqequalTransitivity,
sqequalReflexivity,
sqequalRule,
sqequalSubstitution
Latex:
\mforall{}[g:ProjGeomPrimitives]. \mforall{}[c,d:Point]. SqStable(c \mequiv{} d)
Date html generated:
2018_05_22-PM-00_25_39
Last ObjectModification:
2017_11_25-AM-11_41_12
Theory : euclidean!plane!geometry
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