Theorems · Theorem · measure theory
MeasureTheory.StronglyMeasurable.neg
∀ {α : Type u_1} {β : Type u_2} {f : α → β} {mα : MeasurableSpace α} [inst : TopologicalSpace β] [inst_1 : Neg β]
[ContinuousNeg β], MeasureTheory.StronglyMeasurable f → MeasureTheory.StronglyMeasurable (-f)- Cited by
- 9 results in Mathlib
- Foundations
- Depth 86 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.StronglyMeasurablestatement and proof · cited by 363
- ContinuousNegstatement and proof · cited by 119
- MeasureTheory.StronglyMeasurable.approxproof · cited by 40
- MeasureTheory.StronglyMeasurable.tendsto_approxproof · cited by 36
- Filter.Tendsto.negproof · cited by 30
Cited by9
Results whose statement or proof uses this declaration.
- MeasureTheory.AEStronglyMeasurable.negproof · cited by 11
- MeasureTheory.StronglyAdapted.negproof · cited by 6
- Measurable.sub_stronglyMeasurableproof · cited by 1
- MeasureTheory.lpMeasSubgroupToLpTrim_negproof · cited by 1
- MeasureTheory.tendsto_Lp_finite_of_tendsto_ae_of_measproof · cited by 1
- MeasureTheory.IsStronglyProgressive.negproof · cited by 1
- MeasureTheory.StronglyMeasurable.add_iff_rightproof · cited by 1
- MeasureTheory.StronglyMeasurable.negPartproof · cited by 0
- MeasureTheory.StronglyMeasurable.fun_negproof · cited by 0