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Step * of Lemma geo-add-length-lt-sep2

∀e:BasicGeometry. ∀a,b,c,d,g,h:Point.  (|ab| < |cd| + |gh| ⇒ |ab| ≠ |cd| + |gh|)
BY
{ (Auto THEN InstLemma  `geo-lt-iff-strict-between-points` [⌜e⌝;⌜|ab|⌝;⌜|cd| + |gh|⌝]⋅ THEN Auto) }

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Latex:

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Latex:
\mforall{}e:BasicGeometry.  \mforall{}a,b,c,d,g,h:Point.    (|ab|  <  |cd|  +  |gh|  {}\mRightarrow{}  |ab|  \mneq{}  |cd|  +  |gh|)


By

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Latex:
(Auto  THEN  InstLemma    `geo-lt-iff-strict-between-points`  [\mkleeneopen{}e\mkleeneclose{};\mkleeneopen{}|ab|\mkleeneclose{};\mkleeneopen{}|cd|  +  |gh|\mkleeneclose{}]\mcdot{}  THEN  Auto)

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