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Step * of Lemma pgeo-triangle-axiom2-dual

∀g:ProjectivePlane. ∀p,q:Line. ∀l,m:Point. ∀s:p ≠ q. ∀s1:l ≠ m.  (l ≠ p ⇒ m ≠ q ⇒ m I p ⇒ l I q ⇒ p ∧ q ≠ l ∨ m)
BY
{ (Auto THEN InstLemma `use-triangle-axiom2` [⌜g⌝;⌜l⌝;⌜m⌝;⌜p⌝;⌜q⌝;⌜s1⌝;⌜s⌝]⋅ THEN Auto) }

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Latex:

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Latex:
\mforall{}g:ProjectivePlane.  \mforall{}p,q:Line.  \mforall{}l,m:Point.  \mforall{}s:p  \mneq{}  q.  \mforall{}s1:l  \mneq{}  m.
    (l  \mneq{}  p  {}\mRightarrow{}  m  \mneq{}  q  {}\mRightarrow{}  m  I  p  {}\mRightarrow{}  l  I  q  {}\mRightarrow{}  p  \mwedge{}  q  \mneq{}  l  \mvee{}  m)


By

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Latex:
(Auto  THEN  InstLemma  `use-triangle-axiom2`  [\mkleeneopen{}g\mkleeneclose{};\mkleeneopen{}l\mkleeneclose{};\mkleeneopen{}m\mkleeneclose{};\mkleeneopen{}p\mkleeneclose{};\mkleeneopen{}q\mkleeneclose{};\mkleeneopen{}s1\mkleeneclose{};\mkleeneopen{}s\mkleeneclose{}]\mcdot{}  THEN  Auto)

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