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Step * of Lemma geo-left-out-4

∀e:EuclideanPlane. ∀a,b,p,a',b':Point.  (p leftof ab ⇒ out(p aa') ⇒ out(p bb') ⇒ p leftof a'b')
BY
{ (Auto
   THEN (FLemma `left-all-symmetry` [7] THENA Auto)
   THEN ((InstLemma `geo-left-out-2` [⌜e⌝;⌜a⌝;⌜p⌝;⌜b⌝;⌜b'⌝]⋅ THEN EAuto 1)
         THEN InstLemma `geo-left-out` [⌜e⌝;⌜a⌝;⌜p⌝;⌜a'⌝;⌜b'⌝]⋅
         THEN EAuto 1)
   THEN FLemma `left-all-symmetry` [-1]
   THEN Auto) }

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Latex:

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Latex:
\mforall{}e:EuclideanPlane.  \mforall{}a,b,p,a',b':Point.    (p  leftof  ab  {}\mRightarrow{}  out(p  aa')  {}\mRightarrow{}  out(p  bb')  {}\mRightarrow{}  p  leftof  a'b')


By

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Latex:
(Auto
  THEN  (FLemma  `left-all-symmetry`  [7]  THENA  Auto)
  THEN  ((InstLemma  `geo-left-out-2`  [\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}p\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}b'\mkleeneclose{}]\mcdot{}  THEN  EAuto  1)
              THEN  InstLemma  `geo-left-out`  [\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}p\mkleeneclose{};\mkleeneopen{}a'\mkleeneclose{};\mkleeneopen{}b'\mkleeneclose{}]\mcdot{}
              THEN  EAuto  1)
  THEN  FLemma  `left-all-symmetry`  [-1]
  THEN  Auto)

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