Step * of Lemma geo-colinear-congruence1

e:BasicGeometry. ∀A,B,C,P,Q:Point.  (A ≠  Colinear(A;B;C)  AP ≅ AQ  BP ≅ BQ  CP ≅ CQ)
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1
1. BasicGeometry
2. Point
3. Point
4. Point
5. Point
6. Point
7. A ≠ B
8. Colinear(A;B;C)
9. AP ≅ AQ
10. BP ≅ BQ
⊢ CP ≅ CQ


Latex:


Latex:
\mforall{}e:BasicGeometry.  \mforall{}A,B,C,P,Q:Point.    (A  \mneq{}  B  {}\mRightarrow{}  Colinear(A;B;C)  {}\mRightarrow{}  AP  \00D0  AQ  {}\mRightarrow{}  BP  \00D0  BQ  {}\mRightarrow{}  CP  \00D0  CQ)


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Latex:
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