Theorems · Definition · functional analysis
MeasureTheory.eLpNormLESNormFDerivOfEqInnerConst
{E : Type u_4} →
[inst : NormedAddCommGroup E] →
[inst_1 : NormedSpace ℝ E] →
[inst_2 : MeasurableSpace E] →
[BorelSpace E] → [FiniteDimensional ℝ E] → (μ : MeasureTheory.Measure E) → [μ.IsAddHaarMeasure] → ℝ → NNRealThe constant factor occurring in the conclusion of eLpNorm_le_eLpNorm_fderiv_of_eq_inner.
It only depends on E, μ and p.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 279 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- MeasureTheory.Measurestatement and proof · cited by 10,939
- NNRealstatement · cited by 4,310
- FiniteDimensionalstatement and proof · cited by 1,854
- Module.finrankproof · cited by 1,770
- BorelSpacestatement and proof · cited by 1,602
- NNReal.toRealproof · cited by 1,260
- Real.toNNRealproof · cited by 267
- MeasureTheory.Measure.IsAddHaarMeasurestatement and proof · cited by 255
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eqproof · cited by 1
- MeasureTheory.SNormLESNormFDerivOfEqConst_defstatement and proof · cited by 1
- MeasureTheory.eLpNormLESNormFDerivOfEqInnerConst.congr_simpstatement and proof · cited by 1
- MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_innerstatement and proof · cited by 1