Theorems · Theorem · real analysis
MeasureTheory.Measure.addHaarScalarFactor.congr_simp
∀ {G : Type u_1} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [inst_2 : IsTopologicalAddGroup G]
[inst_3 : MeasurableSpace G] [inst_4 : BorelSpace G] (μ' μ'_1 : MeasureTheory.Measure G) (e_μ' : μ' = μ'_1)
(μ μ_1 : MeasureTheory.Measure G) (e_μ : μ = μ_1) [inst_5 : μ.IsAddHaarMeasure]
[inst_6 : MeasureTheory.IsFiniteMeasureOnCompacts μ'] [inst_7 : μ'.IsAddLeftInvariant],
μ'.addHaarScalarFactor μ = μ'_1.addHaarScalarFactor μ_1- Cited by
- 2 results in Mathlib
- Foundations
- Depth 271 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.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- AddGroupstatement and proof · cited by 4,410
- NNRealstatement · cited by 4,310
- BorelSpacestatement and proof · cited by 1,602
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- MeasureTheory.Measure.IsAddHaarMeasurestatement and proof · cited by 255
- MeasureTheory.Measure.IsAddLeftInvariantstatement and proof · cited by 148
- MeasureTheory.IsFiniteMeasureOnCompactsstatement and proof · cited by 109
- MeasureTheory.Measure.addHaarScalarFactorstatement and proof · cited by 58
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.addHaarScalarFactor_smul_inv_eq_distribHaarCharproof · cited by 1
- MeasureTheory.Measure.euclideanHausdorffMeasure_zeroproof · cited by 0