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Step * of Lemma half-plane-point-exists

∀g:EuclideanPlane. ∀x,y:Point.  (x ≠ y ⇒ (∃q:Point. q leftof xy))
BY
{ (((Auto THEN InstLemma `Euclid-Prop1-left` [⌜g⌝;⌜x⌝;⌜y⌝]⋅ THEN Auto) THEN ExRepD) THEN D 0 With ⌜c⌝  THEN Auto) }

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Latex:

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Latex:
\mforall{}g:EuclideanPlane.  \mforall{}x,y:Point.    (x  \mneq{}  y  {}\mRightarrow{}  (\mexists{}q:Point.  q  leftof  xy))


By

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Latex:
(((Auto  THEN  InstLemma  `Euclid-Prop1-left`  [\mkleeneopen{}g\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{};\mkleeneopen{}y\mkleeneclose{}]\mcdot{}  THEN  Auto)  THEN  ExRepD)
  THEN  D  0  With  \mkleeneopen{}c\mkleeneclose{} 
  THEN  Auto)

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