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Step * 2 6 of Lemma lt-angle-not-cong


1. e : EuclideanPlane
2. x : Point
3. y : Point
4. z : Point
5. ¬x # yz
6. Colinear(x;y;z)
7. xyz < xyz
8. z-x-y
⊢ False
BY
{ (InstLemma `not-lt-zero-angle` [⌜e⌝;⌜x⌝;⌜y⌝;⌜z⌝;⌜x⌝;⌜y⌝;⌜z⌝] ⋅ THEN Auto) }

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Latex:

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Latex:

1.  e  :  EuclideanPlane
2.  x  :  Point
3.  y  :  Point
4.  z  :  Point
5.  \mneg{}x  \#  yz
6.  Colinear(x;y;z)
7.  xyz  <  xyz
8.  z-x-y
\mvdash{}  False


By

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Latex:
(InstLemma  `not-lt-zero-angle`  [\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{};\mkleeneopen{}y\mkleeneclose{};\mkleeneopen{}z\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{};\mkleeneopen{}y\mkleeneclose{};\mkleeneopen{}z\mkleeneclose{}]  \mcdot{}  THEN  Auto)

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