Step
*
of Lemma
rminus_functionality_wrt_bdd-diff
∀x,y:ℕ+ ⟶ ℤ.  (bdd-diff(x;y) 
⇒ bdd-diff(-(x);-(y)))
BY
{ (Auto THEN Unfold `rminus` 0 THEN RepeatFor 3 (ParallelLast) THEN Reduce 0 THEN RWO "absval_sym" 0 THEN Auto) }
Latex:
Latex:
\mforall{}x,y:\mBbbN{}\msupplus{}  {}\mrightarrow{}  \mBbbZ{}.    (bdd-diff(x;y)  {}\mRightarrow{}  bdd-diff(-(x);-(y)))
By
Latex:
(Auto
  THEN  Unfold  `rminus`  0
  THEN  RepeatFor  3  (ParallelLast)
  THEN  Reduce  0
  THEN  RWO  "absval\_sym"  0
  THEN  Auto)
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