Step * 1 of Lemma geo-le-iff-between-points


1. EuclideanPlane
2. {p:Point| O_X_p} 
3. {p:Point| O_X_p} 
4. p ≤ q
⊢ X_p_q
BY
(D -1 THEN Unhide THEN Auto THEN ExRepD) }

1
1. EuclideanPlane
2. {p:Point| O_X_p} 
3. {p:Point| O_X_p} 
4. p' {p:Point| O_X_p} 
5. q' {p:Point| O_X_p} 
6. p' p ∈ Length
7. q' q ∈ Length
8. X_p'_q'
⊢ X_p_q


Latex:


Latex:

1.  g  :  EuclideanPlane
2.  p  :  \{p:Point|  O\_X\_p\} 
3.  q  :  \{p:Point|  O\_X\_p\} 
4.  p  \mleq{}  q
\mvdash{}  X\_p\_q


By


Latex:
(D  -1  THEN  Unhide  THEN  Auto  THEN  ExRepD)




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