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Step * of Lemma pgeo-three-points-axiom

∀g:ProjectivePlaneStructure. ∀l:Line.  ∃a,b,c:Point. (a I l ∧ b I l ∧ c I l ∧ a ≠ b ∧ b ≠ c ∧ c ≠ a)
BY
{ ((Auto THEN UseWitness ⌜pgeo-three-point-axiom(l)⌝⋅) THEN Auto) }

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Latex:

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Latex:
\mforall{}g:ProjectivePlaneStructure.  \mforall{}l:Line.    \mexists{}a,b,c:Point.  (a  I  l  \mwedge{}  b  I  l  \mwedge{}  c  I  l  \mwedge{}  a  \mneq{}  b  \mwedge{}  b  \mneq{}  c  \mwedge{}  c  \mneq{}  a)


By

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Latex:
((Auto  THEN  UseWitness  \mkleeneopen{}pgeo-three-point-axiom(l)\mkleeneclose{}\mcdot{})  THEN  Auto)

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