Step
*
of Lemma
eu-add-length-zero3
∀[e:EuclideanPlane]. ∀[x:{p:Point| O_X_p} ]. ∀[a:Point].  (|aa| + x = x ∈ {p:Point| O_X_p} )
BY
{ (InstLemma `eu-add-length-zero2` [] THEN RepeatFor 3 (ParallelLast') THEN RWO "eu-add-length-comm" 0 THEN Auto) }
Latex:
Latex:
\mforall{}[e:EuclideanPlane].  \mforall{}[x:\{p:Point|  O\_X\_p\}  ].  \mforall{}[a:Point].    (|aa|  +  x  =  x)
By
Latex:
(InstLemma  `eu-add-length-zero2`  []
  THEN  RepeatFor  3  (ParallelLast')
  THEN  RWO  "eu-add-length-comm"  0
  THEN  Auto)
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