Theorems · Theorem · real analysis
NNReal.monotone_rpow_of_nonneg
∀ {z : ℝ}, 0 ≤ z → Monotone fun x => x ^ z- Cited by
- 1 results in Mathlib
- Foundations
- Depth 200 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
- NNRealstatement and proof · cited by 4,310
- Monotonestatement and proof · cited by 1,397
- LE.le.eq_or_ltproof · cited by 220
- StrictMono.monotoneproof · cited by 118
- NNReal.rpow_zeroproof · cited by 20
- NNReal.strictMono_rpow_of_posproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- NNReal.monotone_nnrpow_constproof · cited by 1