Theorems · Theorem · measure theory

MeasurableEmbedding.comap_map

∀ {α : Type u_2} {β : Type u_3} {m0 : MeasurableSpace α} {m1 : MeasurableSpace β} {f : α → β},
  MeasurableEmbedding f →
    ∀ (μ : MeasureTheory.Measure α), MeasureTheory.Measure.comap f (MeasureTheory.Measure.map f μ) = μ

Defined in: Mathlib.MeasureTheory.Measure.Restrict
Cited by: 1 results in Mathlib
Foundations: Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound

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Cites15

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

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MeasureTheory.Measure.extproof · cited by 308
MeasurableEmbeddingstatement and proof · cited by 170
MeasureTheory.Measure.comapstatement · cited by 96
Set.preimage_image_eqproof · cited by 87

Cited by1

Results whose statement or proof uses this declaration.

ProbabilityTheory.Kernel.compProd_fst_borelMarkovFromRealproof · cited by 0