Theorems · Theorem · measure theory
MeasurableEquiv.comap_apply
∀ {α : Type u_2} {β : Type u_3} {m0 : MeasurableSpace α} {m1 : MeasurableSpace β} (e : α ≃ᵐ β)
(μ : MeasureTheory.Measure β) (s : Set α), (MeasureTheory.Measure.comap (⇑e) μ) s = μ (⇑e.symm ⁻¹' s)- Defined in
- Mathlib.MeasureTheory.Measure.Restrict
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Set.preimagestatement and proof · cited by 4,946
- MeasurableEquivstatement and proof · cited by 269
- MeasurableEquiv.symmstatement and proof · cited by 155
- MeasureTheory.Measure.comapstatement · cited by 96
- MeasurableEquiv.measurableEmbeddingproof · cited by 60
- MeasurableEmbedding.comap_applyproof · cited by 20
- MeasurableEquiv.image_eq_preimage_symmproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.setBernoulli_apply'proof · cited by 1