Theorems · Theorem · real analysis
ENNReal.monotone_rpow_of_nonneg
∀ {z : ℝ}, 0 ≤ z → Monotone fun x => x ^ z- Cited by
- 3 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- ENNRealstatement and proof · cited by 9,879
- Monotonestatement and proof · cited by 1,397
- LE.le.eq_or_ltproof · cited by 220
- StrictMono.monotoneproof · cited by 118
- ENNReal.rpow_zeroproof · cited by 47
- ENNReal.strictMono_rpow_of_posproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- ENNReal.rpow_le_rpowproof · cited by 29
- Isometry.hausdorffMeasure_imageproof · cited by 7
- spectrum.spectralRadius_le_pow_nnnorm_pow_one_divproof · cited by 1