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Step * of Lemma rmul-nonneg-rabs

∀[x,y:ℝ].  (x * |y|) = |x * y| supposing r0 ≤ x
BY
{ (Auto
   THEN (RWO "rabs-rmul" 0 THENA Auto)
   THEN BLemma `rmul_functionality`
   THEN Auto
   THEN RWO  "rabs-of-nonneg" 0
   THEN Auto) }

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Latex:

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Latex:
\mforall{}[x,y:\mBbbR{}].    (x  *  |y|)  =  |x  *  y|  supposing  r0  \mleq{}  x


By

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Latex:
(Auto
  THEN  (RWO  "rabs-rmul"  0  THENA  Auto)
  THEN  BLemma  `rmul\_functionality`
  THEN  Auto
  THEN  RWO    "rabs-of-nonneg"  0
  THEN  Auto)

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