Step
*
of Lemma
geo-triangle-colinear
∀e:HeytingGeometry. ∀a,b,c,z:Point.  (a # bc 
⇒ z ≠ b 
⇒ Colinear(a;b;z) 
⇒ z # bc)
BY
{ (Auto THEN FLemma `geo-triangle-implies` [-3] THEN Auto) }
Latex:
Latex:
\mforall{}e:HeytingGeometry.  \mforall{}a,b,c,z:Point.    (a  \#  bc  {}\mRightarrow{}  z  \mneq{}  b  {}\mRightarrow{}  Colinear(a;b;z)  {}\mRightarrow{}  z  \#  bc)
By
Latex:
(Auto  THEN  FLemma  `geo-triangle-implies`  [-3]  THEN  Auto)
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