Theorems · Inductive type · measure theory
MeasurableNeg
(G : Type u_2) → [Neg G] → [MeasurableSpace G] → Prop
We say that a type has MeasurableNeg if x ↦ -x is a measurable function.
- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 130 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 3 definitions · uses no axioms
- Assumes
- NegMeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement · cited by 13,106
Cited by136
Results whose statement or proof uses this declaration.
- MeasurableNeg.measurable_negstatement and proof · cited by 20
- Measurable.negstatement and proof · cited by 10
- MeasurableEquiv.negstatement and proof · cited by 8
- MeasureTheory.quasiMeasurePreserving_negstatement and proof · cited by 7
- MeasureTheory.quasiMeasurePreserving_sub_left_of_right_invariantstatement and proof · cited by 7
- Measurable.fun_negstatement · cited by 7
- AEMeasurable.negstatement and proof · cited by 7
- MeasureTheory.Integrable.convolution_integrandstatement and proof · cited by 6
- MeasureTheory.convolution_flipstatement and proof · cited by 6
- MeasureTheory.Measure.measurePreserving_negstatement and proof · cited by 5
- MeasureTheory.absolutelyContinuous_negstatement and proof · cited by 5
- MeasureTheory.measure_add_right_nullstatement and proof · cited by 4