Theorems · Theorem · measure theory
MeasureTheory.AEEqFun.compMeasurePreserving_toGerm
∀ {α : Type u_1} {γ : Type u_3} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} [inst_1 : TopologicalSpace γ]
{β : Type u_5} [inst_2 : MeasurableSpace β] {f : α → β} {ν : MeasureTheory.Measure β} (g : β →ₘ[ν] γ)
(hf : MeasureTheory.MeasurePreserving f μ ν), (g.compMeasurePreserving f hf).toGerm = g.toGerm.compTendsto f ⋯- Defined in
- Mathlib.MeasureTheory.Function.AEEqFun
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- MeasureTheory.aestatement · cited by 2,352
- MeasureTheory.AEEqFunstatement and proof · cited by 856
- MeasureTheory.MeasurePreservingstatement and proof · cited by 259
- Filter.Germstatement · cited by 102
- MeasureTheory.MeasurePreserving.quasiMeasurePreservingstatement and proof · cited by 41
- MeasureTheory.AEEqFun.toGermstatement · cited by 22
- MeasureTheory.AEEqFun.compMeasurePreservingstatement · cited by 15
- Filter.Germ.compTendstostatement · cited by 6
- MeasureTheory.Measure.QuasiMeasurePreserving.tendsto_aestatement · cited by 6
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.