Theorems · Theorem · real analysis
ENNReal.coe_rpow_of_nonneg
∀ (x : NNReal) {y : ℝ}, 0 ≤ y → ↑(x ^ y) = ↑x ^ y- Cited by
- 34 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- NNRealstatement and proof · cited by 4,310
- ENNReal.ofNNRealstatement and proof · cited by 1,279
- ne_of_gtproof · cited by 637
- ENNReal.rpow_zeroproof · cited by 47
- ENNReal.zero_rpow_of_posproof · cited by 36
- le_iff_eq_or_ltproof · cited by 20
- ENNReal.coe_rpow_of_ne_zeroproof · cited by 20
- NNReal.rpow_zeroproof · cited by 20
- NNReal.zero_rpowproof · cited by 16
Cited by34
Results whose statement or proof uses this declaration.
- ENNReal.rpow_natCastproof · cited by 18
- ENNReal.strictMono_rpow_of_posproof · cited by 7
- HolderOnWith.dimH_image_leproof · cited by 3
- MeasureTheory.exists_eLpNorm_indicator_leproof · cited by 3
- HolderOnWith.interpolateproof · cited by 3
- HolderOnWith.nndist_le_of_leproof · cited by 3
- MeasureTheory.Measure.hausdorffMeasure_smul₀proof · cited by 3
- HolderOnWith.compproof · cited by 2
- HolderOnWith.holderOnWith_zero_of_boundedproof · cited by 2
- Real.enorm_rpow_of_nonnegproof · cited by 2
- MeasureTheory.eLpNorm'_le_nnreal_smul_eLpNorm'_of_ae_le_mulproof · cited by 2
- MeasureTheory.eLpNorm'_le_nnreal_smul_eLpNorm'_of_ae_le_mul'proof · cited by 2