Theorems · Theorem · functional analysis
MeasureTheory.eLpNormLESNormFDerivOfEqInnerConst.congr_simp
∀ {E : Type u_4} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : MeasurableSpace E]
[inst_3 : BorelSpace E] [inst_4 : FiniteDimensional ℝ E] (μ μ_1 : MeasureTheory.Measure E) (e_μ : μ = μ_1)
[inst_5 : μ.IsAddHaarMeasure] (p p_1 : ℝ),
p = p_1 →
MeasureTheory.eLpNormLESNormFDerivOfEqInnerConst μ p = MeasureTheory.eLpNormLESNormFDerivOfEqInnerConst μ_1 p_1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 280 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- BorelSpacestatement and proof · cited by 1,602
- MeasureTheory.Measure.IsAddHaarMeasurestatement and proof · cited by 255
- MeasureTheory.eLpNormLESNormFDerivOfEqInnerConststatement and proof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_innerproof · cited by 1