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Step * of Lemma geo-colinear_functionality

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∀e:EuclideanPlane. ∀a1,a2,b1,b2,c1,c2:Point.
  (a1 ≡ a2 ⇒ b1 ≡ b2 ⇒ c1 ≡ c2 ⇒ (Colinear(a1;b1;c1) ⇐⇒ Colinear(a2;b2;c2)))
BY
{ (Auto THEN ParallelLast THEN (RWO "8 9 10" 0 ORELSE RWO "8< 9< 10<" 0) THEN Auto) }

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Latex:

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Latex:
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\mforall{}e:EuclideanPlane.  \mforall{}a1,a2,b1,b2,c1,c2:Point.
    (a1  \mequiv{}  a2  {}\mRightarrow{}  b1  \mequiv{}  b2  {}\mRightarrow{}  c1  \mequiv{}  c2  {}\mRightarrow{}  (Colinear(a1;b1;c1)  \mLeftarrow{}{}\mRightarrow{}  Colinear(a2;b2;c2)))


By

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Latex:
(Auto  THEN  ParallelLast  THEN  (RWO  "8  9  10"  0  ORELSE  RWO  "8<  9<  10<"  0)  THEN  Auto)

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