Step * of Lemma pgeo-three-points_wf

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g:ProjectivePlaneStructure. ∀l:Line.
  (pgeo-three-point-axiom(l) ∈ ∃a,b,c:Point. (a l ∧ l ∧ l ∧ a ≠ b ∧ b ≠ c ∧ c ≠ a))
BY
((ProveWfLemma THEN 1) THEN Auto) }


Latex:


Latex:
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\mforall{}g:ProjectivePlaneStructure.  \mforall{}l:Line.
    (pgeo-three-point-axiom(l)  \mmember{}  \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


Latex:
((ProveWfLemma  THEN  D  1)  THEN  Auto)




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