Nuprl Lemma : geo-between-same
∀[e:EuclideanPlane]. ∀[a,b:Point]. a ≡ b supposing B(aba)
Proof
Definitions occuring in Statement :
euclidean-plane: EuclideanPlane,
geo-eq: a ≡ b,
geo-between: B(abc),
geo-point: Point,
uimplies: b supposing a,
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
geo-eq: a ≡ b,
not: ¬A,
implies: P ⇒ Q,
subtype_rel: A ⊆r B,
prop: ℙ,
false: False,
guard: {T},
all: ∀x:A. B[x],
geo-sep: a # b,
geo-between: B(abc),
and: P ∧ Q
Latex:
\mforall{}[e:EuclideanPlane]. \mforall{}[a,b:Point]. a \mequiv{} b supposing B(aba)
Date html generated:
2020_05_20-AM-09_46_59
Last ObjectModification:
2019_11_13-PM-01_56_21
Theory : euclidean!plane!geometry
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