Step * of Lemma eu-colinear-trivial

∀e:EuclideanPlane. ∀a,b:Point.  ((¬(a = b ∈ Point)) ⇒ (Colinear(a;b;b) ∧ Colinear(b;a;b)))
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1. e : EuclideanPlane@i'
2. a : Point@i
3. b : Point@i
4. ¬(a = b ∈ Point)@i
⊢ Colinear(a;b;b)


Latex:


Latex:
\mforall{}e:EuclideanPlane.  \mforall{}a,b:Point.    ((\mneg{}(a  =  b))  {}\mRightarrow{}  (Colinear(a;b;b)  \mwedge{}  Colinear(b;a;b)))


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