Theorems · Theorem · measure theory
MeasureTheory.AEEqFun.compMeasurePreserving_eq_mk
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α}
[inst_1 : TopologicalSpace γ] [inst_2 : MeasurableSpace β] {ν : MeasureTheory.Measure β} {f : α → β} (g : β →ₘ[ν] γ)
(hf : MeasureTheory.MeasurePreserving f μ ν), g.compMeasurePreserving f hf = MeasureTheory.AEEqFun.mk (↑g ∘ f) ⋯- Defined in
- Mathlib.MeasureTheory.Function.AEEqFun
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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.AEEqFunstatement and proof · cited by 856
- MeasureTheory.AEEqFun.caststatement · cited by 380
- MeasureTheory.MeasurePreservingstatement and proof · cited by 259
- MeasureTheory.AEEqFun.mkstatement · cited by 62
- MeasureTheory.MeasurePreserving.quasiMeasurePreservingstatement and proof · cited by 41
- MeasureTheory.AEEqFun.aestronglyMeasurablestatement · cited by 26
- MeasureTheory.AEEqFun.compMeasurePreservingstatement · cited by 15
- MeasureTheory.AEStronglyMeasurable.comp_quasiMeasurePreservingstatement · cited by 11
- MeasureTheory.AEEqFun.compQuasiMeasurePreserving_eq_mkproof · cited by 2
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