Nuprl Lemma : TarskiPP_wf
∀[e:GeometryPrimitives]. (TarskiPP(e) ∈ ℙ)
Proof
Definitions occuring in Statement :
TarskiPP: TarskiPP(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],
TarskiPP: TarskiPP(e),
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
geo-primitives_wf,
exists_wf,
geo-sep_wf,
geo-between_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]. (TarskiPP(e) \mmember{} \mBbbP{})
Date html generated:
2018_05_22-PM-00_14_49
Last ObjectModification:
2018_01_10-PM-01_22_55
Theory : euclidean!plane!geometry
Home
Index