Step
*
of Lemma
eu-le-null-segment
∀e:EuclideanPlane. ∀[p:{p:Point| O_X_p} ]. ∀[a:Point].  uiff(p ≤ |aa|;p = |aa| ∈ {p:Point| O_X_p} )
BY
{ ((UnivCD THENA Auto) THEN (RWO "eu-length-null-segment" 0 THENA Auto)) }
1
1. e : EuclideanPlane
2. [p] : {p:Point| O_X_p} 
3. [a] : Point
⊢ uiff(p ≤ X;p = X ∈ {p:Point| O_X_p} )
Latex:
Latex:
\mforall{}e:EuclideanPlane.  \mforall{}[p:\{p:Point|  O\_X\_p\}  ].  \mforall{}[a:Point].    uiff(p  \mleq{}  |aa|;p  =  |aa|)
By
Latex:
((UnivCD  THENA  Auto)  THEN  (RWO  "eu-length-null-segment"  0  THENA  Auto))
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