Theorems · Inductive type · measure theory
MeasurableMul
(M : Type u_2) → [MeasurableSpace M] → [Mul M] → Prop
We say that a type has MeasurableMul if (c * ·) and (· * c) are measurable functions.
For a typeclass assuming measurability of uncurry (*) see MeasurableMul₂.
- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 71 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- MeasurableSpaceMul
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 by79
Results whose statement or proof uses this declaration.
- Measurable.const_mulstatement and proof · cited by 19
- Measurable.mul_conststatement and proof · cited by 13
- MeasurableMul.measurable_const_mulstatement and proof · cited by 12
- AEMeasurable.const_mulstatement and proof · cited by 10
- MeasurableMul.measurable_mul_conststatement and proof · cited by 9
- MeasurableEquiv.mulLeftstatement and proof · cited by 9
- MeasurableEquiv.mulRightstatement and proof · cited by 9
- MeasureTheory.measure_preimage_mulstatement and proof · cited by 5
- AEMeasurable.mul_conststatement and proof · cited by 5
- MeasureTheory.lintegral_mul_left_eq_selfstatement and proof · cited by 4
- MeasureTheory.integral_mul_left_eq_selfstatement and proof · cited by 4
- MeasurableEquiv.mulLeft₀statement and proof · cited by 4