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Step * 1 1 1 1 1 of Lemma not-geo-lt-points


1. g : EuclideanPlane
2. p : Point
3. B(OXp)
4. q : Point
5. B(OXq)
6. Colinear(X;q;p)
7. ¬B(Xqp)
8. p # q
⊢ B(Xpq)
BY
{ ((InstLemma  `geo-between-same-side-or` [⌜g⌝;⌜O⌝;⌜X⌝;⌜p⌝;⌜q⌝]⋅ THEN Auto) THEN D -1 THEN Auto) }

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Latex:

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Latex:

1.  g  :  EuclideanPlane
2.  p  :  Point
3.  B(OXp)
4.  q  :  Point
5.  B(OXq)
6.  Colinear(X;q;p)
7.  \mneg{}B(Xqp)
8.  p  \#  q
\mvdash{}  B(Xpq)


By

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Latex:
((InstLemma    `geo-between-same-side-or`  [\mkleeneopen{}g\mkleeneclose{};\mkleeneopen{}O\mkleeneclose{};\mkleeneopen{}X\mkleeneclose{};\mkleeneopen{}p\mkleeneclose{};\mkleeneopen{}q\mkleeneclose{}]\mcdot{}  THEN  Auto)  THEN  D  -1  THEN  Auto)

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