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Step * 1 1 of Lemma colinear-lsep-general


1. g : OrientedPlane
2. a : Point
3. b : Point
4. c : Point
5. d : Point
6. Colinear(a;b;c)
7. Colinear(a;b;d)
8. c ≠ d
9. y : Point
10. y # ab
11. c ≠ b
⊢ y # cd
BY
{ (InstLemma `colinear-lsep` [⌜g⌝;⌜a⌝;⌜b⌝;⌜y⌝;⌜c⌝]⋅
   THEN Auto
   THEN InstLemma `colinear-lsep\'` [⌜g⌝;⌜b⌝;⌜c⌝;⌜d⌝;⌜y⌝]⋅
   THEN Auto) }

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Latex:

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Latex:

1.  g  :  OrientedPlane
2.  a  :  Point
3.  b  :  Point
4.  c  :  Point
5.  d  :  Point
6.  Colinear(a;b;c)
7.  Colinear(a;b;d)
8.  c  \mneq{}  d
9.  y  :  Point
10.  y  \#  ab
11.  c  \mneq{}  b
\mvdash{}  y  \#  cd


By

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Latex:
(InstLemma  `colinear-lsep`  [\mkleeneopen{}g\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}y\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{}]\mcdot{}
  THEN  Auto
  THEN  InstLemma  `colinear-lsep\mbackslash{}'`  [\mkleeneopen{}g\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{};\mkleeneopen{}d\mkleeneclose{};\mkleeneopen{}y\mkleeneclose{}]\mcdot{}
  THEN  Auto)

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