Theorems · Theorem · measure theory
MeasureTheory.AEStronglyMeasurable.sub
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace β] {m m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α}
{f g : α → β} [inst_1 : AddGroup β] [IsTopologicalAddGroup β],
MeasureTheory.AEStronglyMeasurable f μ →
MeasureTheory.AEStronglyMeasurable g μ → MeasureTheory.AEStronglyMeasurable (f - g) μ- Cited by
- 21 results in Mathlib
- Foundations
- Depth 174 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
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
- MeasureTheory.AEStronglyMeasurable.mkproof · cited by 82
- MeasureTheory.AEStronglyMeasurable.ae_eq_mkproof · cited by 77
- MeasureTheory.AEStronglyMeasurable.stronglyMeasurable_mkproof · cited by 71
- Filter.EventuallyEq.subproof · cited by 19
- MeasureTheory.StronglyMeasurable.subproof · cited by 18
Cited by21
Results whose statement or proof uses this declaration.
- ProbabilityTheory.covariance_mapproof · cited by 5
- MeasureTheory.MemLp.exists_boundedContinuous_eLpNorm_sub_leproof · cited by 3
- MeasureTheory.MemLp.exists_hasCompactSupport_eLpNorm_sub_leproof · cited by 3
- MeasureTheory.tendsto_setToFun_of_L1proof · cited by 3
- MeasureTheory.AEStronglyMeasurable.fun_subproof · cited by 3
- MeasureTheory.Lp.ae_eq_of_forall_setIntegral_eq'proof · cited by 2
- MeasureTheory.MemLp.exist_eLpNorm_sub_leproof · cited by 2
- MeasureTheory.unifIntegrable_of_tendsto_Lpproof · cited by 2
- MeasureTheory.MemLp.induction_denseproof · cited by 2
- MeasureTheory.tendsto_lintegral_norm_of_dominated_convergenceproof · cited by 2
- MeasureTheory.Lp.memLp_of_cauchy_tendstoproof · cited by 1
- MeasureTheory.Lp.cauchy_tendsto_of_tendstoproof · cited by 1