Nuprl Lemma : circle-circumscription_wf
∀[e:GeometryPrimitives]. (circle-circumscription(e) ∈ ℙ)
Proof
Definitions occuring in Statement :
circle-circumscription: circle-circumscription(e),
geo-primitives: GeometryPrimitives,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
exists: ∃x:A. B[x],
so_apply: x[s],
and: P ∧ Q,
prop: ℙ,
implies: P ⇒ Q,
so_lambda: λ2x.t[x],
circle-circumscription: circle-circumscription(e),
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
geo-primitives_wf,
geo-congruent_wf,
exists_wf,
geo-lsep_wf,
geo-point_wf,
all_wf
Rules used in proof :
equalitySymmetry,
equalityTransitivity,
axiomEquality,
productEquality,
functionEquality,
because_Cache,
lambdaEquality,
hypothesis,
hypothesisEquality,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
sqequalRule,
cut,
introduction,
isect_memberFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}[e:GeometryPrimitives]. (circle-circumscription(e) \mmember{} \mBbbP{})
Date html generated:
2017_10_02-PM-06_54_04
Last ObjectModification:
2017_08_06-PM-07_48_09
Theory : euclidean!plane!geometry
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