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Step * of Lemma geo-triangle-colinear'

∀e:HeytingGeometry. ∀a,b,c,x,z:Point.  (a # bc ⇒ x ≠ b ⇒ Colinear(a;b;x) ⇒ z ≠ c ⇒ Colinear(x;c;z) ⇒ z # bc)
BY
{ (Auto THEN Assert ⌜x # bc⌝⋅ THEN Auto) }

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Latex:

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Latex:
\mforall{}e:HeytingGeometry.  \mforall{}a,b,c,x,z:Point.
    (a  \#  bc  {}\mRightarrow{}  x  \mneq{}  b  {}\mRightarrow{}  Colinear(a;b;x)  {}\mRightarrow{}  z  \mneq{}  c  {}\mRightarrow{}  Colinear(x;c;z)  {}\mRightarrow{}  z  \#  bc)


By

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Latex:
(Auto  THEN  Assert  \mkleeneopen{}x  \#  bc\mkleeneclose{}\mcdot{}  THEN  Auto)

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