Step
*
of Lemma
rmax-idempotent
∀[x:ℝ]. (rmax(x;x) = x)
BY
{ (Auto THEN Assert ⌜(rmax(x;x) ≤ x) ∧ (x ≤ rmax(x;x))⌝⋅ THEN EAuto 1) }
Latex:
Latex:
\mforall{}[x:\mBbbR{}]. (rmax(x;x) = x)
By
Latex:
(Auto THEN Assert \mkleeneopen{}(rmax(x;x) \mleq{} x) \mwedge{} (x \mleq{} rmax(x;x))\mkleeneclose{}\mcdot{} THEN EAuto 1)
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