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Step * of Lemma pgeo-sep-points-exist

∀g:ProjectivePlane. ∃a,b:Point. a ≠ b
BY
{ ((((Auto THEN (InstLemma `pgeo-non-trivial` [⌜g⌝]⋅ THENA Auto)) THEN D -1)
    THEN (InstLemma `point-implies-plsep-exists` [⌜g⌝;⌜p⌝]⋅ THEN Auto)
    THEN ExRepD)
   THEN InstLemma `pgeo-three-points-axiom` [⌜g⌝;⌜l⌝]⋅
   THEN Auto) }

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Latex:

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Latex:
\mforall{}g:ProjectivePlane.  \mexists{}a,b:Point.  a  \mneq{}  b


By

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Latex:
((((Auto  THEN  (InstLemma  `pgeo-non-trivial`  [\mkleeneopen{}g\mkleeneclose{}]\mcdot{}  THENA  Auto))  THEN  D  -1)
    THEN  (InstLemma  `point-implies-plsep-exists`  [\mkleeneopen{}g\mkleeneclose{};\mkleeneopen{}p\mkleeneclose{}]\mcdot{}  THEN  Auto)
    THEN  ExRepD)
  THEN  InstLemma  `pgeo-three-points-axiom`  [\mkleeneopen{}g\mkleeneclose{};\mkleeneopen{}l\mkleeneclose{}]\mcdot{}
  THEN  Auto)

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