Step * of Lemma eu-eq-implies-col

e:EuclideanPlane. ∀a,b,c:Point.  ((¬(a b ∈ Point))  (b c ∈ Point)  Colinear(a;b;c))
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1
1. EuclideanPlane@i'
2. Point@i
3. Point@i
4. Point@i
5. ¬(a b ∈ Point)@i
6. c ∈ Point@i
⊢ Colinear(a;b;c)


Latex:


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


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