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Step * of Lemma not-geo-lt-points

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∀g:EuclideanPlane. ∀p,q:{p:Point| B(OXp)} .  (¬p < q ⇐⇒ q ≤ p)
BY
{ (Intros THEN RWW "geo-lt-iff-strict-between-points" 0 THEN Auto) }

1
1. g : EuclideanPlane
2. p : {p:Point| B(OXp)} 
3. q : {p:Point| B(OXp)} 
4. ¬(p ≤ q ∧ p # q)
⊢ q ≤ p

2
1. g : EuclideanPlane
2. p : {p:Point| B(OXp)} 
3. q : {p:Point| B(OXp)} 
4. q ≤ p
⊢ ¬(p ≤ q ∧ p # q)

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Latex:

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Latex:
No  Annotations
\mforall{}g:EuclideanPlane.  \mforall{}p,q:\{p:Point|  B(OXp)\}  .    (\mneg{}p  <  q  \mLeftarrow{}{}\mRightarrow{}  q  \mleq{}  p)


By

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Latex:
(Intros  THEN  RWW  "geo-lt-iff-strict-between-points"  0  THEN  Auto)

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