Nuprl Lemma : geo-le-pt-from-be
∀e:BasicGeometry. ∀a,b,c:Point. ab≤ac supposing B(abc)
Proof
Definitions occuring in Statement :
geo-le-pt: ab≤cd,
basic-geometry: BasicGeometry,
geo-between: B(abc),
geo-point: Point,
uimplies: b supposing a,
all: ∀x:A. B[x]
Definitions unfolded in proof :
all: ∀x:A. B[x],
uimplies: b supposing a,
member: t ∈ T,
geo-between: B(abc),
and: P ∧ Q,
not: ¬A,
implies: P ⇒ Q,
false: False,
geo-le-pt: ab≤cd,
exists: ∃x:A. B[x],
cand: A c∧ B,
basic-geometry: BasicGeometry,
uall: ∀[x:A]. B[x],
subtype_rel: A ⊆r B,
prop: ℙ,
guard: {T}
Latex:
\mforall{}e:BasicGeometry. \mforall{}a,b,c:Point. ab\mleq{}ac supposing B(abc)
Date html generated:
2020_05_20-AM-09_53_59
Last ObjectModification:
2019_12_23-AM-10_14_55
Theory : euclidean!plane!geometry
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