Step
*
of Lemma
rmin-nonneg
∀[x,y:ℝ].  rnonneg(rmin(x;y)) supposing rnonneg(x) ∧ rnonneg(y)
BY
{ (Auto
   THEN All (Unfold `rnonneg`)
   THEN ParallelLast
   THEN RepUR ``rmin`` 0
   THEN (RWO "imin_unfold" 0 THENA Auto)
   THEN AutoSplit) }
Latex:
Latex:
\mforall{}[x,y:\mBbbR{}].    rnonneg(rmin(x;y))  supposing  rnonneg(x)  \mwedge{}  rnonneg(y)
By
Latex:
(Auto
  THEN  All  (Unfold  `rnonneg`)
  THEN  ParallelLast
  THEN  RepUR  ``rmin``  0
  THEN  (RWO  "imin\_unfold"  0  THENA  Auto)
  THEN  AutoSplit)
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