Theorems · Theorem · measure theory
MeasureTheory.AEStronglyMeasurable.add_const
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace β] {m m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α}
{f : α → β} [inst_1 : Add β] [ContinuousAdd β],
MeasureTheory.AEStronglyMeasurable f μ → ∀ (c : β), MeasureTheory.AEStronglyMeasurable (fun x => f x + c) μ- Cited by
- 2 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.
Cites7
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
- ContinuousAddstatement and proof · cited by 777
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
- MeasureTheory.aestronglyMeasurable_constproof · cited by 44
- MeasureTheory.AEStronglyMeasurable.addproof · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.variance_add_constproof · cited by 2
- GaussianFourier.integrable_cexp_neg_mul_sq_add_real_mul_Iproof · cited by 1