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Step * of Lemma geo-line-exists

∀g:EuclideanPlane. Line
BY
{ (((Auto THEN Unfold `geo-line` 0) THEN (Assert ∃a,b:Point. a ≠ b BY (GenConclTerm ⌜geo-nontrivial(g)⌝⋅ THEN Auto)))
   THEN (ExRepD THEN InstConcl [⌜a⌝;⌜b⌝]⋅)
   THEN Auto) }

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Latex:

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Latex:
\mforall{}g:EuclideanPlane.  Line


By

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Latex:
(((Auto  THEN  Unfold  `geo-line`  0)
    THEN  (Assert  \mexists{}a,b:Point.  a  \mneq{}  b  BY
                            (GenConclTerm  \mkleeneopen{}geo-nontrivial(g)\mkleeneclose{}\mcdot{}  THEN  Auto))
    )
  THEN  (ExRepD  THEN  InstConcl  [\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{}]\mcdot{})
  THEN  Auto)

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