Theorems · Theorem · functional analysis
CFC.monotone_sqrt
∀ {A : Type u_1} [inst : NonUnitalCStarAlgebra A] [inst_1 : PartialOrder A] [inst_2 : StarOrderedRing A],
Monotone CFC.sqrtCFC.sqrt is operator monotone.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 330 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · 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
- Monotonestatement · cited by 1,397
- StarOrderedRingstatement and proof · cited by 587
- NonUnitalCStarAlgebrastatement and proof · cited by 149
- IsStarNormalstatement · cited by 117
- CFC.sqrtstatement and proof · cited by 82
- CFC.sqrt_eq_nnrpowproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- CFC.sqrt_le_sqrtproof · cited by 0