Step
*
of Lemma
rminus-rmin
∀[x,y:ℝ]. (-(rmin(x;y)) = rmax(-(x);-(y)))
BY
{ (Auto⋅
THEN D 0
THEN Auto
THEN RepUR ``rmin rmax rminus`` 0
THEN (RWO "imin_unfold imax_unfold" 0 THENA Auto)
THEN AutoSplit
THEN (RW IntNormC 0 THEN Auto THEN RWO "absval_unfold" 0 THEN Auto)⋅) }
Latex:
Latex:
\mforall{}[x,y:\mBbbR{}]. (-(rmin(x;y)) = rmax(-(x);-(y)))
By
Latex:
(Auto\mcdot{}
THEN D 0
THEN Auto
THEN RepUR ``rmin rmax rminus`` 0
THEN (RWO "imin\_unfold imax\_unfold" 0 THENA Auto)
THEN AutoSplit
THEN (RW IntNormC 0 THEN Auto THEN RWO "absval\_unfold" 0 THEN Auto)\mcdot{})
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