Step * of Lemma Euclid-Prop31-sep

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e:EuclideanPlane. ∀a,b,x:Point.  (a  ab  (∃y:Point. (geo-parallel-points(e;a;b;x;y) ∧ y)))
BY
((InstLemma `Euclid-Prop31` [] THEN RepeatFor ((ParallelLast' THENA Auto))) THEN Auto) }


Latex:


Latex:
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\mforall{}e:EuclideanPlane.  \mforall{}a,b,x:Point.
    (a  \#  b  {}\mRightarrow{}  x  \#  ab  {}\mRightarrow{}  (\mexists{}y:Point.  (geo-parallel-points(e;a;b;x;y)  \mwedge{}  x  \#  y)))


By


Latex:
((InstLemma  `Euclid-Prop31`  []  THEN  RepeatFor  7  ((ParallelLast'  THENA  Auto)))  THEN  Auto)




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