Theorems · Theorem · functional analysis
CFC.log_monotoneOn
∀ {A : Type u_1} [inst : CStarAlgebra A] [inst_1 : PartialOrder A] [StarOrderedRing A],
MonotoneOn CFC.log {a | IsStrictlyPositive a}log is operator monotone.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 332 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites31
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Realproof · cited by 25,697
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- Filter.mp_memproof · cited by 1,537
- Set.Ioiproof · cited by 1,463
- le_of_ltproof · cited by 1,175
- Set.EqOnproof · cited by 603
Cited by1
Results whose statement or proof uses this declaration.
- CFC.log_le_logproof · cited by 0