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Step * of Lemma lsep-colinear

∀g:EuclideanPlane. ∀p,a,b,x,y:Point.  (p # ab ⇒ x ≠ y ⇒ Colinear(x;a;b) ⇒ Colinear(y;a;b) ⇒ p # xy)
BY
{ (Auto THEN All (RWO "lsep-iff-all-sep") THEN Auto) }

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Latex:

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Latex:
\mforall{}g:EuclideanPlane.  \mforall{}p,a,b,x,y:Point.
    (p  \#  ab  {}\mRightarrow{}  x  \mneq{}  y  {}\mRightarrow{}  Colinear(x;a;b)  {}\mRightarrow{}  Colinear(y;a;b)  {}\mRightarrow{}  p  \#  xy)


By

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Latex:
(Auto  THEN  All  (RWO  "lsep-iff-all-sep")  THEN  Auto)

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