Nuprl Lemma : point-exists-axiom_wf
∀[g:ProjectivePlaneStructureComplete]. (point-exists-axiom(g) ∈ ∃p:Point. p ≡ p)
Proof
Definitions occuring in Statement :
point-exists-axiom: point-exists-axiom(g),
projective-plane-structure-complete: ProjectivePlaneStructureComplete,
pgeo-peq: a ≡ b,
pgeo-point: Point,
uall: ∀[x:A]. B[x],
exists: ∃x:A. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
point-exists-axiom: point-exists-axiom(g),
projective-plane-structure-complete: ProjectivePlaneStructureComplete,
record+: record+,
record-select: r.x,
subtype_rel: A ⊆r B,
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
btrue: tt,
guard: {T},
so_lambda: λ2x.t[x],
so_apply: x[s],
exists: ∃x:A. B[x],
prop: ℙ
Latex:
\mforall{}[g:ProjectivePlaneStructureComplete]. (point-exists-axiom(g) \mmember{} \mexists{}p:Point. p \mequiv{} p)
Date html generated:
2020_05_20-AM-10_37_24
Last ObjectModification:
2019_12_03-AM-09_48_50
Theory : euclidean!plane!geometry
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