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Step * of Lemma geo-SC_wf

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∀[g:EuclideanPlaneStructure]
  ∀c,d,a:Point. ∀b:{b:Point| b # a ∧ B(cbd)} .  (SC(a;b;c;d) ∈ {u:Point| cu ≅ cd ∧ B(abu) ∧ (b # d ⇒ b # u)} )
BY
{ (ProveWfLemma THEN D 1 THEN Auto) }

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Latex:

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Latex:
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\mforall{}[g:EuclideanPlaneStructure]
    \mforall{}c,d,a:Point.  \mforall{}b:\{b:Point|  b  \#  a  \mwedge{}  B(cbd)\}  .
        (SC(a;b;c;d)  \mmember{}  \{u:Point|  cu  \mcong{}  cd  \mwedge{}  B(abu)  \mwedge{}  (b  \#  d  {}\mRightarrow{}  b  \#  u)\}  )


By

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Latex:
(ProveWfLemma  THEN  D  1  THEN  Auto)

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