Theorems · Theorem · real analysis
ENNReal.strictMono_rpow_of_pos
∀ {z : ℝ}, 0 < z → StrictMono fun x => x ^ z- Cited by
- 7 results in Mathlib
- Foundations
- Depth 202 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 and proof · cited by 25,697
- ENNRealstatement and proof · cited by 9,879
- Top.topproof · cited by 9,680
- NNRealproof · cited by 4,310
- LT.lt.leproof · cited by 2,189
- ENNReal.ofNNRealproof · cited by 1,279
- eq_or_neproof · cited by 1,117
- StrictMonostatement · cited by 706
- ne_top_of_ltproof · cited by 50
- ENNReal.coe_lt_coeproof · cited by 44
- ENNReal.coe_rpow_of_nonnegproof · cited by 34
- ENNReal.top_rpow_of_posproof · cited by 22
Cited by8
Results whose statement or proof uses this declaration.
- ENNReal.rpow_le_rpow_iffproof · cited by 7
- ENNReal.monotone_rpow_of_nonnegproof · cited by 3
- ENNReal.orderIsoRpowproof · cited by 3
- ENNReal.rpow_lt_rpowproof · cited by 2
- MeasureTheory.eLpNorm_enorm_rpowproof · cited by 2
- ENNReal.rpow_lt_rpow_iffproof · cited by 1
- MeasureTheory.Lp.eLpNorm'_lim_le_liminf_eLpNorm'proof · cited by 1
- ENNReal.orderIsoRpow_symm_applyproof · cited by 0