Theorems · Theorem · measure theory
MeasureTheory.IntegrableOn.congr_set_ae
∀ {α : Type u_1} {ε : Type u_3} {mα : MeasurableSpace α} {f : α → ε} {s t : Set α} {μ : MeasureTheory.Measure α}
[inst : TopologicalSpace ε] [inst_1 : ContinuousENorm ε],
MeasureTheory.IntegrableOn f t μ → s =ᵐ[μ] t → MeasureTheory.IntegrableOn f s μ- Cited by
- 5 results in Mathlib
- Foundations
- Depth 199 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.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- MeasureTheory.IntegrableOnstatement and proof · cited by 548
- ContinuousENormstatement and proof · cited by 290
- Filter.EventuallyEq.leproof · cited by 46
- MeasureTheory.IntegrableOn.mono_set_aeproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.integrableOn_congr_set_aeproof · cited by 4
- MeasureTheory.IntegrableOn.integrable_indicator₀proof · cited by 1
- MeasureTheory.integral_eq_of_hasDerivAt_off_countable_of_leproof · cited by 1
- MeasureTheory.IntegrableAtFilter.inf_ae_iffproof · cited by 1
- Real.integrableOn_rpowIntegrand₀₁_Iciproof · cited by 1