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Step * of Lemma lt-angle-not-cong2

∀e:EuclideanPlane. ∀a,b,c,x,y,z:Point.  (abc < xyz ⇒ (¬abc ≅a xyz))
BY
{ ((Auto THEN D 0 THEN Auto)
   THEN (InstLemma `geo-cong-angle-preserves-lt-angle` [⌜e⌝;⌜a⌝;⌜b⌝;⌜c⌝;⌜x⌝;⌜y⌝;⌜z⌝;⌜x⌝;⌜y⌝;⌜z⌝]⋅ THEN Auto)
   THEN InstLemma `lt-angle-not-cong` [⌜e⌝;⌜x⌝;⌜y⌝;⌜z⌝]⋅
   THEN Auto) }

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Latex:

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Latex:
\mforall{}e:EuclideanPlane.  \mforall{}a,b,c,x,y,z:Point.    (abc  <  xyz  {}\mRightarrow{}  (\mneg{}abc  \mcong{}\msuba{}  xyz))


By

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Latex:
((Auto  THEN  D  0  THEN  Auto)
  THEN  (InstLemma  `geo-cong-angle-preserves-lt-angle`  [\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{};\mkleeneopen{}y\mkleeneclose{};\mkleeneopen{}z\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{};\mkleeneopen{}y\mkleeneclose{};\mkleeneopen{}z\mkleeneclose{}]\mcdot{}
              THEN  Auto
              )
  THEN  InstLemma  `lt-angle-not-cong`  [\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{};\mkleeneopen{}y\mkleeneclose{};\mkleeneopen{}z\mkleeneclose{}]\mcdot{}
  THEN  Auto)

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