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Step * of Lemma geo-parallel-points-symmetry

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∀e:EuclideanPlane. ∀a,b,c,d:Point.  (geo-parallel-points(e;a;b;c;d) ⇒ geo-parallel-points(e;c;d;a;b))
BY
{ (RWO "geo-parallel-iff-not-intersect" 0 THEN Auto THEN ParallelOp -3) }

1
1. e : EuclideanPlane
2. a : Point
3. b : Point
4. c : Point
5. d : Point
6. a # b
7. c # d
8. c # d
9. a # b
10. cd \/ ab
⊢ ab \/ cd

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Latex:

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Latex:
No  Annotations
\mforall{}e:EuclideanPlane.  \mforall{}a,b,c,d:Point.
    (geo-parallel-points(e;a;b;c;d)  {}\mRightarrow{}  geo-parallel-points(e;c;d;a;b))


By

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Latex:
(RWO  "geo-parallel-iff-not-intersect"  0  THEN  Auto  THEN  ParallelOp  -3)

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