CFC.monotone_rpow

∀ {A : Type u_1} [inst : CStarAlgebra A] [inst_1 : PartialOrder A] [inst_2 : StarOrderedRing A] {p : ℝ},
  p ∈ Set.Icc 0 1 → Monotone fun a => a ^ p

a ↦ a ^ p is operator monotone for p ∈ [0,1].

Defined in: Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.Order
Cited by: 1 results in Mathlib
Foundations: Depth 330 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CStarAlgebra PartialOrder StarOrderedRing

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