Theorems · Theorem · real analysis
Real.enorm_rpow_of_nonneg
∀ {x y : ℝ}, 0 ≤ x → 0 ≤ y → ‖x ^ y‖ₑ = ‖x‖ₑ ^ y- Cited by
- 2 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.
Cites8
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 · cited by 9,879
- NNRealproof · cited by 4,310
- ENNReal.ofNNRealproof · cited by 1,279
- NNNorm.nnnormproof · cited by 952
- ENorm.enormstatement · cited by 715
- ENNReal.coe_rpow_of_nonnegproof · cited by 34
- Real.nnnorm_rpow_of_nonnegproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_innerproof · cited by 1
- MeasureTheory.Measure.HasTemperateGrowth.exists_eLpNorm_lt_topproof · cited by 1