Theorems · Theorem · measure theory
Measurable.const_smul
∀ {M : Type u_2} {X : Type u_3} {α : Type u_4} [inst : MeasurableSpace X] [inst_1 : SMul M X] {m : MeasurableSpace α}
{g : α → X} [MeasurableConstSMul M X], Measurable g → ∀ (c : M), Measurable (c • g)- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- MeasurableConstSMulstatement and proof · cited by 92
- MeasurableConstSMul.measurable_const_smulproof · cited by 12
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.singularPart_smulproof · cited by 4
- MeasureTheory.Measure.singularPart_smul_rightproof · cited by 2
- measurable_const_smul_iffproof · cited by 1
- Measurable.fun_const_smulproof · cited by 1
- MeasureTheory.Adapted.smulproof · cited by 0