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Step * 2 of Lemma geo-sep-iff-or-lt


1. e : BasicGeometry
2. x : {p:Point| O_X_p} 
3. y : {p:Point| O_X_p} 
4. x < y ∨ y < x
⊢ x ≠ y
BY
{ (D -1 THEN RWO "geo-lt-iff-strict-between-points" (-1) THEN Auto) }

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Latex:

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Latex:

1.  e  :  BasicGeometry
2.  x  :  \{p:Point|  O\_X\_p\} 
3.  y  :  \{p:Point|  O\_X\_p\} 
4.  x  <  y  \mvee{}  y  <  x
\mvdash{}  x  \mneq{}  y


By

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Latex:
(D  -1  THEN  RWO  "geo-lt-iff-strict-between-points"  (-1)  THEN  Auto)

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