Theorems · Theorem · measure theory
AEMeasurable.neg
∀ {G : Type u_2} {α : Type u_3} [inst : Neg G] [inst_1 : MeasurableSpace G] [MeasurableNeg G] {m : MeasurableSpace α}
{f : α → G} {μ : MeasureTheory.Measure α}, AEMeasurable f μ → AEMeasurable (-f) μ- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 7 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
- MeasurableNegstatement and proof · cited by 130
- Measurable.comp_aemeasurableproof · cited by 99
- MeasurableNeg.measurable_negproof · cited by 20
Cited by7
Results whose statement or proof uses this declaration.
- MeasureTheory.integral_eq_lintegral_of_nonneg_aeproof · cited by 31
- AEMeasurable.fun_negproof · cited by 3
- ProbabilityTheory.IsGaussian.integrable_exp_sq_of_conv_negproof · cited by 1
- ProbabilityTheory.hasSubgaussianMGF_of_mem_Icc_of_integral_eq_zeroproof · cited by 1
- AEMeasurable.add_iff_rightproof · cited by 1
- aemeasurable_neg_iffproof · cited by 0
- AEMeasurable.negPartproof · cited by 0