Step
*
of Lemma
geo-parallel-not-intersect
∀e:EuclideanPlane. ∀a,b,c,d:Point.  (geo-parallel-points(e;a;b;c;d) 
⇒ (¬ab \/ cd))
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Latex:
Latex:
\mforall{}e:EuclideanPlane.  \mforall{}a,b,c,d:Point.    (geo-parallel-points(e;a;b;c;d)  {}\mRightarrow{}  (\mneg{}ab  \mbackslash{}/  cd))
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Latex:
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