Theorems · Theorem · functional analysis
CFC.nnrpow_le_nnrpow
∀ {A : Type u_1} [inst : NonUnitalCStarAlgebra A] [inst_1 : PartialOrder A] [inst_2 : StarOrderedRing A] {p : NNReal},
p ∈ Set.Icc 0 1 → ∀ {a b : A}, a ≤ b → a ^ p ≤ b ^ p- Cited by
- 0 results in Mathlib
- Foundations
- Depth 330 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- PartialOrderstatement and proof · cited by 6,410
- Complexstatement · cited by 5,565
- NNRealstatement and proof · cited by 4,310
- Set.Iccstatement and proof · cited by 1,702
- StarOrderedRingstatement and proof · cited by 587
- NonUnitalCStarAlgebrastatement and proof · cited by 149
- IsStarNormalstatement · cited by 117
- CFC.monotone_nnrpowproof · cited by 3
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