Step
*
1
1
of Lemma
geo-not-colinear
.....aux..... 
1. e : BasicGeometry
2. a : Point
3. b : Point
4. c : Point
5. a # bc
6. B(abc)
⊢ Colinear(a;b;c)
BY
{ (InstLemma `geo-between-implies-colinear` [⌜e⌝;⌜a⌝;⌜b⌝;⌜c⌝]⋅ THEN Auto) }
Latex:
Latex:
.....aux..... 
1.  e  :  BasicGeometry
2.  a  :  Point
3.  b  :  Point
4.  c  :  Point
5.  a  \#  bc
6.  B(abc)
\mvdash{}  Colinear(a;b;c)
By
Latex:
(InstLemma  `geo-between-implies-colinear`  [\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{}]\mcdot{}  THEN  Auto)
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