Step
*
1
1
1
1
of Lemma
geo-not-triangle
1. e : HeytingGeometry
2. a : Point
3. b : Point
4. c : Point
5. ¬a # bc
6. (B(acb) ∨ B(bac)) ∨ B(abc)
7. (¬B(abc)) ∧ (¬B(bca)) ∧ (¬B(cab))
⊢ False
BY
{ (((D -2 THEN Auto) THEN D -4) THEN Auto) }
Latex:
Latex:
1. e : HeytingGeometry
2. a : Point
3. b : Point
4. c : Point
5. \mneg{}a \# bc
6. (B(acb) \mvee{} B(bac)) \mvee{} B(abc)
7. (\mneg{}B(abc)) \mwedge{} (\mneg{}B(bca)) \mwedge{} (\mneg{}B(cab))
\mvdash{} False
By
Latex:
(((D -2 THEN Auto) THEN D -4) THEN Auto)
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