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Step * 2 1 1 1 1 2 of Lemma geo-colinear-iff


1. e : BasicGeometry-
2. a : Point
3. b : Point
4. c : Point
5. ¬((¬B(abc)) ∧ (¬B(bca)) ∧ (¬B(cab)))
6. a # bc
7. B(bca)
⊢ Colinear(a;b;c)
BY
{ (InstLemma `geo-between-implies-colinear` [⌜e⌝;⌜b⌝;⌜c⌝;⌜a⌝]⋅ THEN Auto) }

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Latex:

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Latex:

1.  e  :  BasicGeometry-
2.  a  :  Point
3.  b  :  Point
4.  c  :  Point
5.  \mneg{}((\mneg{}B(abc))  \mwedge{}  (\mneg{}B(bca))  \mwedge{}  (\mneg{}B(cab)))
6.  a  \#  bc
7.  B(bca)
\mvdash{}  Colinear(a;b;c)


By

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Latex:
(InstLemma  `geo-between-implies-colinear`  [\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{}]\mcdot{}  THEN  Auto)

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