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Step * of Lemma use-plane-sep

∀g:EuclideanPlaneStructure. ∀a,b,u,v:Point.  (u leftof ab ⇒ v leftof ba ⇒ (∃x:Point. (Colinear(a;b;x) ∧ u_x_v)))
BY
{ (((UnivCD THENA Auto) THEN (InstLemma `geo-SS_wf` [⌜g⌝;⌜a⌝;⌜b⌝;⌜u⌝;⌜v⌝]⋅ THENA Auto))
   THEN (GenConclTerm ⌜geo-SS(g;a;b;u;v)⌝⋅ THENA Auto)
   THEN ((D -2 THEN InstConcl [⌜v1⌝]⋅) THENA Auto)
   THEN Unhide
   THEN Auto) }

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Latex:

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Latex:
\mforall{}g:EuclideanPlaneStructure.  \mforall{}a,b,u,v:Point.
    (u  leftof  ab  {}\mRightarrow{}  v  leftof  ba  {}\mRightarrow{}  (\mexists{}x:Point.  (Colinear(a;b;x)  \mwedge{}  u\_x\_v)))


By

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Latex:
(((UnivCD  THENA  Auto)  THEN  (InstLemma  `geo-SS\_wf`  [\mkleeneopen{}g\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}u\mkleeneclose{};\mkleeneopen{}v\mkleeneclose{}]\mcdot{}  THENA  Auto))
  THEN  (GenConclTerm  \mkleeneopen{}geo-SS(g;a;b;u;v)\mkleeneclose{}\mcdot{}  THENA  Auto)
  THEN  ((D  -2  THEN  InstConcl  [\mkleeneopen{}v1\mkleeneclose{}]\mcdot{})  THENA  Auto)
  THEN  Unhide
  THEN  Auto)

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