Theorems · Theorem · measure theory
Measurable.smul
∀ {M : Type u_2} {X : Type u_3} {α : Type u_4} [inst : MeasurableSpace X] [inst_1 : SMul M X] {m : MeasurableSpace α}
{f : α → M} {g : α → X} [inst_2 : MeasurableSpace M] [MeasurableSMul₂ M X],
Measurable f → Measurable g → Measurable (f • g)- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 72 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
- Measurablestatement and proof · cited by 1,499
- Measurable.compproof · cited by 234
- Measurable.prodMkproof · cited by 115
- MeasurableSMul₂statement and proof · cited by 10
- MeasurableSMul₂.measurable_smulproof · cited by 2
Cited by7
Results whose statement or proof uses this declaration.
- Measurable.fun_smulproof · cited by 1
- bergelson'proof · cited by 1
- MeasureTheory.aemeasurable_withDensity_ennreal_iff'proof · cited by 1
- MeasureTheory.condLExp_smulproof · cited by 0
- MeasureTheory.condLExp_smul'proof · cited by 0
- MeasureTheory.condLExp_smul_leproof · cited by 0
- aemeasurable_withDensity_iffproof · cited by 0