Theorems · Theorem · measure theory
AEMeasurable.add_const
∀ {M : Type u_2} {α : Type u_3} [inst : MeasurableSpace M] [inst_1 : Add M] {m : MeasurableSpace α} {f : α → M}
{μ : MeasureTheory.Measure α} [MeasurableAdd M], AEMeasurable f μ → ∀ (c : M), AEMeasurable (fun x => f x + c) μ- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- AEMeasurablestatement and proof · cited by 840
- Measurable.comp_aemeasurableproof · cited by 99
- MeasurableAddstatement and proof · cited by 78
- MeasurableAdd.measurable_add_constproof · cited by 11
Cited by6
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.addModularCharacterFun_eq_addHaarScalarFactorproof · cited by 3
- MeasureTheory.charFun_map_add_constproof · cited by 1
- LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mulproof · cited by 1
- LipschitzWith.integral_inv_smul_sub_mul_tendsto_integral_lineDeriv_mul'proof · cited by 1
- MeasureTheory.charFunDual_map_add_constproof · cited by 1
- ProbabilityTheory.gaussianReal_add_constproof · cited by 0