Nuprl Lemma : geo-sep-or
∀e:EuclideanPlaneStructure. ∀a:Point. ∀b:{b:Point| a # b} . ∀c:Point. (a # c ∨ b # c)
Proof
Definitions occuring in Statement :
euclidean-plane-structure: EuclideanPlaneStructure,
geo-sep: a # b,
geo-point: Point,
all: ∀x:A. B[x],
or: P ∨ Q,
set: {x:A| B[x]}
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
uall: ∀[x:A]. B[x],
subtype_rel: A ⊆r B,
prop: ℙ
Latex:
\mforall{}e:EuclideanPlaneStructure. \mforall{}a:Point. \mforall{}b:\{b:Point| a \# b\} . \mforall{}c:Point. (a \# c \mvee{} b \# c)
Date html generated:
2020_05_20-AM-09_45_55
Last ObjectModification:
2020_01_29-PM-04_30_15
Theory : euclidean!plane!geometry
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