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Step * 1 of Lemma eu-eq-implies-col


1. e : EuclideanPlane@i'
2. a : Point@i
3. b : Point@i
4. c : Point@i
5. ¬(a = b ∈ Point)@i
6. b = c ∈ Point@i
⊢ Colinear(a;b;c)
BY
{ (InstLemma `eu-colinear-def` [⌜e⌝;⌜a⌝;⌜b⌝;⌜c⌝]⋅ THENA Auto)
THEN D (-1)
THEN D (-1)
THEN Auto }

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Latex:

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Latex:

1.  e  :  EuclideanPlane@i'
2.  a  :  Point@i
3.  b  :  Point@i
4.  c  :  Point@i
5.  \mneg{}(a  =  b)@i
6.  b  =  c@i
\mvdash{}  Colinear(a;b;c)


By

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Latex:
(InstLemma  `eu-colinear-def`  [\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{}]\mcdot{}  THENA  Auto)
THEN  D  (-1)
THEN  D  (-1)
THEN  Auto

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