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Step * of Lemma geo-lt-from-strict-between

∀e:EuclideanPlane. ∀a,b,c:Point.  (a-b-c ⇒ |ab| < |ac|)
BY
{ (Auto
   THEN (D -1 THEN FLemma `geo-add-length-between` [-2] THEN Auto)
   THEN (RWO  "-1" 0 THEN Auto)
   THEN Unfold `geo-lt` 0
   THEN InstConcl [⌜b⌝;⌜c⌝]⋅
   THEN Auto) }

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Latex:

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Latex:
\mforall{}e:EuclideanPlane.  \mforall{}a,b,c:Point.    (a-b-c  {}\mRightarrow{}  |ab|  <  |ac|)


By

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Latex:
(Auto
  THEN  (D  -1  THEN  FLemma  `geo-add-length-between`  [-2]  THEN  Auto)
  THEN  (RWO    "-1"  0  THEN  Auto)
  THEN  Unfold  `geo-lt`  0
  THEN  InstConcl  [\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}c\mkleeneclose{}]\mcdot{}
  THEN  Auto)

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