Step * of Lemma rmin-rmax-distrib-strong

a,b,c:ℝ.  (rmin(a;rmax(b;c)) rmax(rmin(a;b);rmin(a;c)) ∈ ℝ)
BY
(Auto THEN BLemma `implies-equal-real` THEN Auto THEN RepUR ``rmin rmax`` THEN Auto) }


Latex:


Latex:
\mforall{}a,b,c:\mBbbR{}.    (rmin(a;rmax(b;c))  =  rmax(rmin(a;b);rmin(a;c)))


By


Latex:
(Auto  THEN  BLemma  `implies-equal-real`  THEN  Auto  THEN  RepUR  ``rmin  rmax``  0  THEN  Auto)




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