Step * of Lemma remove-repeats-set-equal

[T:Type]. ∀[eq:EqDecider(T)]. ∀[L1,L2:T List].
  ||remove-repeats(eq;L1)|| ||remove-repeats(eq;L2)|| ∈ ℤ supposing set-equal(T;L1;L2)
BY
(Auto
   THEN BLemma `set-equal-no_repeats-length`
   THEN Auto
   THEN RepeatFor (ParallelLast)
   THEN RWO "member-remove-repeats" 0
   THEN Auto) }


Latex:


Latex:
\mforall{}[T:Type].  \mforall{}[eq:EqDecider(T)].  \mforall{}[L1,L2:T  List].
    ||remove-repeats(eq;L1)||  =  ||remove-repeats(eq;L2)||  supposing  set-equal(T;L1;L2)


By


Latex:
(Auto
  THEN  BLemma  `set-equal-no\_repeats-length`
  THEN  Auto
  THEN  RepeatFor  2  (ParallelLast)
  THEN  RWO  "member-remove-repeats"  0
  THEN  Auto)




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