Theorems · Theorem · functional analysis
Unitization.concaveOn_of_concaveOn_inr_comp
∀ {A : Type u_1} [inst : NonUnitalCStarAlgebra A] [inst_1 : PartialOrder A] [StarOrderedRing A] {f : A → A} {s : Set A},
(∀ (x : A), IsSelfAdjoint (f x)) → ConcaveOn ℝ s (Unitization.inr ∘ f) → ConcaveOn ℝ s f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 318 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- PartialOrderstatement and proof · cited by 6,410
- Complexstatement and proof · cited by 5,565
- Star.starproof · cited by 1,082
- StarOrderedRingstatement and proof · cited by 587
- IsSelfAdjointstatement and proof · cited by 545
- Unitizationstatement · cited by 220
- ConcaveOnstatement and proof · cited by 159
- NonUnitalCStarAlgebrastatement and proof · cited by 149
- Unitization.inrstatement and proof · cited by 109
- Unitization.inr_le_iffproof · cited by 8
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