Theorems · Theorem · dynamical systems
MeasureTheory.conservative_congr
∀ {α : Type u_1} [inst : MeasurableSpace α] {f : α → α} {μ ν : MeasureTheory.Measure α},
MeasureTheory.ae μ = MeasureTheory.ae ν → (MeasureTheory.Conservative f μ ↔ MeasureTheory.Conservative f ν)- Defined in
- Mathlib.Dynamics.Ergodic.Conservative
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
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Cites6
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
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Filterstatement · cited by 8,121
- MeasureTheory.aestatement and proof · cited by 2,352
- MeasureTheory.Conservativestatement and proof · cited by 19
- MeasureTheory.Conservative.congr_aeproof · cited by 1
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