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Step * of Lemma pgeo-meet-psep-implies-false

∀g:ProjectivePlane. ∀l,m:Line. ∀s:l ≠ m. ∀s2:m ≠ l.  (m ∧ l ≠ l ∧ m ⇒ False)
BY
{ ((Auto THEN (InstLemma `pgeo-lsep-implies-plsep` [⌜g⌝;⌜m ∧ l⌝;⌜l⌝;⌜m⌝;⌜s⌝]⋅ THENA Auto))
   THEN InstLemma `pgeo-meet-incident` [⌜g⌝;⌜m⌝;⌜l⌝;⌜s2⌝]⋅
   THEN Auto) }

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Latex:

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Latex:
\mforall{}g:ProjectivePlane.  \mforall{}l,m:Line.  \mforall{}s:l  \mneq{}  m.  \mforall{}s2:m  \mneq{}  l.    (m  \mwedge{}  l  \mneq{}  l  \mwedge{}  m  {}\mRightarrow{}  False)


By

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Latex:
((Auto  THEN  (InstLemma  `pgeo-lsep-implies-plsep`  [\mkleeneopen{}g\mkleeneclose{};\mkleeneopen{}m  \mwedge{}  l\mkleeneclose{};\mkleeneopen{}l\mkleeneclose{};\mkleeneopen{}m\mkleeneclose{};\mkleeneopen{}s\mkleeneclose{}]\mcdot{}  THENA  Auto))
  THEN  InstLemma  `pgeo-meet-incident`  [\mkleeneopen{}g\mkleeneclose{};\mkleeneopen{}m\mkleeneclose{};\mkleeneopen{}l\mkleeneclose{};\mkleeneopen{}s2\mkleeneclose{}]\mcdot{}
  THEN  Auto)

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