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Step * of Lemma rmul_functionality

∀[r1,r2,s1,s2:ℝ].  ((r1 * s1) = (r2 * s2)) supposing ((s1 = s2) and (r1 = r2))
BY
{ (Auto
   THEN (BLemma `req-iff-bdd-diff` THENA Auto)
   THEN (RWO "rmul-bdd-diff-reg-seq-mul" 0 THENA Auto)
   THEN BLemma `reg-seq-mul_functionality_wrt_bdd-diff`
   THEN Auto
   THEN BLemma `req-iff-bdd-diff`
   THEN Auto) }

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Latex:

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Latex:
\mforall{}[r1,r2,s1,s2:\mBbbR{}].    ((r1  *  s1)  =  (r2  *  s2))  supposing  ((s1  =  s2)  and  (r1  =  r2))


By

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Latex:
(Auto
  THEN  (BLemma  `req-iff-bdd-diff`  THENA  Auto)
  THEN  (RWO  "rmul-bdd-diff-reg-seq-mul"  0  THENA  Auto)
  THEN  BLemma  `reg-seq-mul\_functionality\_wrt\_bdd-diff`
  THEN  Auto
  THEN  BLemma  `req-iff-bdd-diff`
  THEN  Auto)

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