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Theorems · Theorem · general topology

MeasureTheory.exists_subset_real_measurableEquiv

∀ (α : Type u_1) [inst : MeasurableSpace α] [StandardBorelSpace α], ∃ s, MeasurableSet s ∧ Nonempty (α ≃ᵐ ↑s)

Any standard Borel space is measurably equivalent to a subset of the reals.

Defined in
Mathlib.MeasureTheory.Constructions.Polish.EmbeddingReal
Cited by
1 results in Mathlib
Foundations
Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceStandardBorelSpace

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