Nuprl Lemma : not-geo-strict-between-same
∀e:BasicGeometry-. ∀[a,b:Point]. False supposing a-b-b
Proof
Definitions occuring in Statement :
basic-geometry-: BasicGeometry-,
geo-strict-between: a-b-c,
geo-point: Point,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
false: False
Definitions unfolded in proof :
all: ∀x:A. B[x],
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
false: False,
subtype_rel: A ⊆r B,
guard: {T},
prop: ℙ,
implies: P ⇒ Q,
geo-strict-between: a-b-c,
and: P ∧ Q,
geo-sep: a # b,
geo-between: B(abc),
not: ¬A
Latex:
\mforall{}e:BasicGeometry-. \mforall{}[a,b:Point]. False supposing a-b-b
Date html generated:
2020_05_20-AM-09_48_39
Last ObjectModification:
2019_11_13-PM-01_56_16
Theory : euclidean!plane!geometry
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