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Step * of Lemma extend-using-SC

∀e:EuclideanPlane. ∀q,a,b:Point.  (q ≠ a ⇒ (∃x:Point. (q_a_x ∧ ax ≅ ab)))
BY
{ (Auto THEN D 0 With ⌜SCO(q;a;a;b)⌝  THEN Auto THEN GenConclTerm ⌜SCO(q;a;a;b)⌝⋅ THEN Auto) }

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Latex:

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Latex:
\mforall{}e:EuclideanPlane.  \mforall{}q,a,b:Point.    (q  \mneq{}  a  {}\mRightarrow{}  (\mexists{}x:Point.  (q\_a\_x  \mwedge{}  ax  \00D0  ab)))


By

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Latex:
(Auto  THEN  D  0  With  \mkleeneopen{}SCO(q;a;a;b)\mkleeneclose{}    THEN  Auto  THEN  GenConclTerm  \mkleeneopen{}SCO(q;a;a;b)\mkleeneclose{}\mcdot{}  THEN  Auto)

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