Nuprl Lemma : geo-between-implies-ge
∀[g:EuclideanPlane]. ∀[a,b,c:Point]. ac ≥ ab supposing B(abc)
Proof
Definitions occuring in Statement :
euclidean-plane: EuclideanPlane,
geo-ge: ab ≥ cd,
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-ge: ab ≥ cd,
geo-between: B(abc),
and: P ∧ Q,
not: ¬A,
implies: P ⇒ Q,
false: False,
subtype_rel: A ⊆r B,
guard: {T},
prop: ℙ
Latex:
\mforall{}[g:EuclideanPlane]. \mforall{}[a,b,c:Point]. ac \mgeq{} ab supposing B(abc)
Date html generated:
2020_05_20-AM-09_46_55
Last ObjectModification:
2019_11_13-PM-02_09_04
Theory : euclidean!plane!geometry
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