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" THENA Auto)) }

1
1. 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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