Theorems · Theorem · functional analysis
CFC.concaveOn_sqrt
∀ {A : Type u_1} [inst : NonUnitalCStarAlgebra A] [inst_1 : PartialOrder A] [inst_2 : StarOrderedRing A],
ConcaveOn ℝ (Set.Ici 0) CFC.sqrtThe square root is operator concave.
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- 0 results in Mathlib
- Foundations
- Depth 330 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- PartialOrderstatement and proof · cited by 6,410
- Complexstatement · cited by 5,565
- NNRealproof · cited by 4,310
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- Set.Icistatement and proof · cited by 1,070
- StarOrderedRingstatement and proof · cited by 587
- ConcaveOnstatement and proof · cited by 159
- NonUnitalCStarAlgebrastatement and proof · cited by 149
- IsStarNormalstatement · cited by 117
- CFC.sqrtstatement · cited by 82
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