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Theorems · Theorem · measure theory

MeasureTheory.generateFrom_generateSetAlgebra_eq

∀ {α : Type u_1} {𝒜 : Set (Set α)},
  MeasurableSpace.generateFrom (MeasureTheory.generateSetAlgebra 𝒜) = MeasurableSpace.generateFrom 𝒜

The measurable space generated by a family of sets 𝒜 is the same as the one generated by the algebra of sets generated by 𝒜.

Defined in
Mathlib.MeasureTheory.SetAlgebra
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Foundations
Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound

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