Nuprl Lemma : geo-congruent-flip-seg
∀e:BasicGeometry. ∀[a,b:Point]. geo-seg-congruent(e; ab; ba)
Proof
Definitions occuring in Statement :
geo-seg-congruent: geo-seg-congruent(e; s1; s2),
geo-mk-seg: ab,
basic-geometry: BasicGeometry,
geo-point: Point,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x]
Definitions unfolded in proof :
all: ∀x:A. B[x],
uall: ∀[x:A]. B[x],
member: t ∈ T,
geo-seg-congruent: geo-seg-congruent(e; s1; s2),
basic-geometry: BasicGeometry,
geo-congruent: ab ≅ cd,
not: ¬A,
implies: P ⇒ Q,
false: False,
subtype_rel: A ⊆r B,
guard: {T},
uimplies: b supposing a
Latex:
\mforall{}e:BasicGeometry. \mforall{}[a,b:Point]. geo-seg-congruent(e; ab; ba)
Date html generated:
2020_05_20-AM-09_49_19
Last ObjectModification:
2020_01_27-PM-10_03_44
Theory : euclidean!plane!geometry
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