Step * of Lemma geo-perp-midsegments

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e:BasicGeometry. ∀a,b,c:Point.  (Rabc  (∀c',d,p:Point.  (c'=p=d  c'=a=c  d=b=c  Rbap)))
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1
1. BasicGeometry
2. Point
3. Point
4. Point
5. Rabc
6. c' Point
7. Point
8. Point
9. c'=p=d
10. c'=a=c
11. d=b=c
⊢ Rbap


Latex:


Latex:
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\mforall{}e:BasicGeometry.  \mforall{}a,b,c:Point.    (Rabc  {}\mRightarrow{}  (\mforall{}c',d,p:Point.    (c'=p=d  {}\mRightarrow{}  c'=a=c  {}\mRightarrow{}  d=b=c  {}\mRightarrow{}  Rbap)))


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Latex:
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