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Step * 1 1 2 1 1 of Lemma rmax_lb


1. x : ℝ
2. y : ℝ
3. z : ℝ
4. rnonneg(z + -(x))
5. rnonneg(z + -(y))
6. -(rmax(x;y)) = rmin(-(x);-(y))
⊢ rnonneg(rmin(z + -(x);z + -(y)))
BY
{ (BLemma `rmin-nonneg` THEN Auto) }

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Latex:

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Latex:

1.  x  :  \mBbbR{}
2.  y  :  \mBbbR{}
3.  z  :  \mBbbR{}
4.  rnonneg(z  +  -(x))
5.  rnonneg(z  +  -(y))
6.  -(rmax(x;y))  =  rmin(-(x);-(y))
\mvdash{}  rnonneg(rmin(z  +  -(x);z  +  -(y)))


By

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Latex:
(BLemma  `rmin-nonneg`  THEN  Auto)

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