Theorems · Theorem · measure theory
MeasureTheory.AEEqFun.compMeasurePreserving_iterate
∀ {α : Type u_1} {γ : Type u_3} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} [inst_1 : TopologicalSpace γ]
(g : α →ₘ[μ] γ) {f : α → α} (hf : MeasureTheory.MeasurePreserving f μ μ) (n : ℕ),
(fun x => x.compMeasurePreserving f hf)^[n] g = g.compMeasurePreserving f^[n] ⋯- Defined in
- Mathlib.MeasureTheory.Function.AEEqFun
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 216 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- Nat.iteratestatement · cited by 740
- MeasureTheory.MeasurePreservingstatement and proof · cited by 259
- MeasureTheory.MeasurePreserving.quasiMeasurePreservingproof · cited by 41
- MeasureTheory.AEEqFun.compMeasurePreservingstatement · cited by 15
- MeasureTheory.MeasurePreserving.iteratestatement · cited by 6
- MeasureTheory.AEEqFun.compQuasiMeasurePreserving_iterateproof · cited by 1
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