Nuprl Lemma : geo-midpoint-symmetry
∀e:BasicGeometry. ∀m,a,b:Point. (a=m=b ⇒ b=m=a)
Proof
Definitions occuring in Statement :
basic-geometry: BasicGeometry,
geo-midpoint: a=m=b,
geo-point: Point,
all: ∀x:A. B[x],
implies: P ⇒ Q
Definitions unfolded in proof :
geo-midpoint: a=m=b,
all: ∀x:A. B[x],
implies: P ⇒ Q,
and: P ∧ Q,
cand: A c∧ B,
member: t ∈ T,
basic-geometry: BasicGeometry,
uall: ∀[x:A]. B[x],
uimplies: b supposing a,
subtype_rel: A ⊆r B,
guard: {T},
prop: ℙ
Latex:
\mforall{}e:BasicGeometry. \mforall{}m,a,b:Point. (a=m=b {}\mRightarrow{} b=m=a)
Date html generated:
2020_05_20-AM-09_49_25
Last ObjectModification:
2020_01_27-PM-07_08_46
Theory : euclidean!plane!geometry
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