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Step * of Lemma colinear-lsep2

∀g:OrientedPlane. ∀a,b,c,x,y:Point.  (a # bc ⇒ x ≠ b ⇒ Colinear(a;b;x) ⇒ y ≠ c ⇒ Colinear(b;c;y) ⇒ x # yc)
BY
{ (Auto
   THEN (FLemma `colinear-lsep-cycle` [7;8;9] THENA Auto)
   THEN InstLemma `colinear-lsep\'` [⌜g⌝;⌜b⌝;⌜c⌝;⌜y⌝;⌜x⌝]⋅
   THEN Auto) }

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Latex:

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Latex:
\mforall{}g:OrientedPlane.  \mforall{}a,b,c,x,y:Point.
    (a  \#  bc  {}\mRightarrow{}  x  \mneq{}  b  {}\mRightarrow{}  Colinear(a;b;x)  {}\mRightarrow{}  y  \mneq{}  c  {}\mRightarrow{}  Colinear(b;c;y)  {}\mRightarrow{}  x  \#  yc)


By

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Latex:
(Auto
  THEN  (FLemma  `colinear-lsep-cycle`  [7;8;9]  THENA  Auto)
  THEN  InstLemma  `colinear-lsep\mbackslash{}'`  [\mkleeneopen{}g\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{};\mkleeneopen{}y\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{}]\mcdot{}
  THEN  Auto)

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