Step
*
2
of Lemma
geo-le-iff-between-points
1. g : EuclideanPlane
2. p : {p:Point| O_X_p} 
3. q : {p:Point| O_X_p} 
4. X_p_q
⊢ p ≤ q
BY
{ ((D 0 THEN InstConcl [⌜p⌝;⌜q⌝]⋅) THEN Auto) }
Latex:
Latex:
1.  g  :  EuclideanPlane
2.  p  :  \{p:Point|  O\_X\_p\} 
3.  q  :  \{p:Point|  O\_X\_p\} 
4.  X\_p\_q
\mvdash{}  p  \mleq{}  q
By
Latex:
((D  0  THEN  InstConcl  [\mkleeneopen{}p\mkleeneclose{};\mkleeneopen{}q\mkleeneclose{}]\mcdot{})  THEN  Auto)
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