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Step * of Lemma PL-sep-or

∀g:ProjectivePlaneStructure. ∀a:Point. ∀l,m:Line.  (a ≠ l ⇒ (a ≠ m ∨ m ≠ l))
BY
{ (Auto THEN UseWitness ⌜PLSepOr(a;l;m)⌝⋅ THEN Auto) }

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Latex:

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Latex:
\mforall{}g:ProjectivePlaneStructure.  \mforall{}a:Point.  \mforall{}l,m:Line.    (a  \mneq{}  l  {}\mRightarrow{}  (a  \mneq{}  m  \mvee{}  m  \mneq{}  l))


By

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Latex:
(Auto  THEN  UseWitness  \mkleeneopen{}PLSepOr(a;l;m)\mkleeneclose{}\mcdot{}  THEN  Auto)

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