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Step * of Lemma geo-sep-irreflexive

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∀e:GeometryPrimitives. (BasicGeometryAxioms(e) ⇒ (∀a:Point. (¬a # a)))
BY
{ (RepeatFor 2 (Intro)
   THEN D -1
   THEN SplitAndHyps
   THEN Unfold `geo-sep` 0
   THEN (GenRepD THENA Auto)
   THEN (InstHyp [⌜a⌝;⌜a⌝;⌜a⌝] (4)⋅ THENA Auto)
   THEN Unfold `geo-ge` -1
   THEN Auto) }

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Latex:

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Latex:
No  Annotations
\mforall{}e:GeometryPrimitives.  (BasicGeometryAxioms(e)  {}\mRightarrow{}  (\mforall{}a:Point.  (\mneg{}a  \#  a)))


By

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Latex:
(RepeatFor  2  (Intro)
  THEN  D  -1
  THEN  SplitAndHyps
  THEN  Unfold  `geo-sep`  0
  THEN  (GenRepD  THENA  Auto)
  THEN  (InstHyp  [\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{}]  (4)\mcdot{}  THENA  Auto)
  THEN  Unfold  `geo-ge`  -1
  THEN  Auto)

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