Theorems · Theorem · measure theory
MeasureTheory.AEStronglyMeasurable.mul_iff_right
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace β] {m m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α}
{f g : α → β} [inst_1 : CommGroup β] [IsTopologicalGroup β],
MeasureTheory.AEStronglyMeasurable f μ →
(MeasureTheory.AEStronglyMeasurable (f * g) μ ↔ MeasureTheory.AEStronglyMeasurable g μ)- Cited by
- 1 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- CommGroupstatement and proof · cited by 990
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
- IsTopologicalGroupstatement and proof · cited by 469
- MeasureTheory.AEStronglyMeasurable.mulproof · cited by 19
- mul_inv_cancel_commproof · cited by 13
- MeasureTheory.AEStronglyMeasurable.invproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.AEStronglyMeasurable.mul_iff_leftproof · cited by 0