Theorems · Theorem · functional analysis
CStarAlgebra.pow_monotone
∀ {A : Type u_1} [inst : CStarAlgebra A] [inst_1 : PartialOrder A] [StarOrderedRing A] {a : A},
1 ≤ a → Monotone fun x => a ^ x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 317 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.
- Realproof · cited by 25,697
- PartialOrderstatement and proof · cited by 6,410
- LE.le.transproof · cited by 3,151
- Monotonestatement · cited by 1,397
- StarOrderedRingstatement and proof · cited by 587
- spectrumproof · cited by 510
- zero_le_oneproof · cited by 316
- cfcproof · cited by 228
- CStarAlgebrastatement and proof · cited by 123
- continuousOn_id'proof · cited by 109
- IsSelfAdjoint.of_nonnegproof · cited by 43
- pow_le_pow_right₀proof · cited by 28
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