Theorems · Theorem · functional analysis

MeasureTheory.SNormLESNormFDerivOfEqConst.congr_simp

∀ (F : Type u_6) [inst : NormedAddCommGroup F] [inst_1 : NormedSpace ℝ F] {E : Type u_7} [inst_2 : NormedAddCommGroup E]
  [inst_3 : NormedSpace ℝ E] [inst_4 : MeasurableSpace E] [inst_5 : BorelSpace E] [inst_6 : FiniteDimensional ℝ E]
  (μ μ_1 : MeasureTheory.Measure E) (e_μ : μ = μ_1) [inst_7 : μ.IsAddHaarMeasure] [inst_8 : FiniteDimensional ℝ F]
  (p p_1 : ℝ),
  p = p_1 → MeasureTheory.SNormLESNormFDerivOfEqConst F μ p = MeasureTheory.SNormLESNormFDerivOfEqConst F μ_1 p_1

Defined in: Mathlib.Analysis.FunctionalSpaces.SobolevInequality
Cited by: 0 results in Mathlib
Foundations: Depth 284 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedAddCommGroup NormedSpace NormedAddCommGroup NormedSpace MeasurableSpace BorelSpace FiniteDimensional MeasureTheory.Measure.IsAddHaarMeasure FiniteDimensional

Mathlib docs Source Loogle LeanSearch

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.SNormLESNormFDerivOfEqConststatement and proof · cited by 5

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.