Step
*
of Lemma
geo-colinear-congruence2
∀e:BasicGeometry. ∀A,B,C,C':Point. (A ≠ B
⇒ Colinear(A;B;C)
⇒ AC ≅ AC'
⇒ BC ≅ BC'
⇒ C ≡ C')
BY
{ Auto }
1
1. e : BasicGeometry
2. A : Point
3. B : Point
4. C : Point
5. C' : Point
6. A ≠ B
7. Colinear(A;B;C)
8. AC ≅ AC'
9. BC ≅ BC'
⊢ C ≡ C'
Latex:
Latex:
\mforall{}e:BasicGeometry. \mforall{}A,B,C,C':Point. (A \mneq{} B {}\mRightarrow{} Colinear(A;B;C) {}\mRightarrow{} AC \00D0 AC' {}\mRightarrow{} BC \00D0 BC' {}\mRightarrow{} C \mequiv{} C')
By
Latex:
Auto
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