Step * of Lemma geo-parallel-iff-not-intersect

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e:EuclideanPlane. ∀a,b,c,d:Point.  (geo-parallel-points(e;a;b;c;d) ⇐⇒ (a b ∧ d) ∧ ab \/ cd))
BY
(Auto THEN THEN Auto THEN ParallelLast THEN THEN Auto) }


Latex:


Latex:
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\mforall{}e:EuclideanPlane.  \mforall{}a,b,c,d:Point.
    (geo-parallel-points(e;a;b;c;d)  \mLeftarrow{}{}\mRightarrow{}  (a  \#  b  \mwedge{}  c  \#  d)  \mwedge{}  (\mneg{}ab  \mbackslash{}/  cd))


By


Latex:
(Auto  THEN  D  0  THEN  Auto  THEN  ParallelLast  THEN  D  0  THEN  Auto)




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