Theorems · Definition · measure theory

MeasurableSpace.giGenerateFrom

{α : Type u_1} → GaloisInsertion MeasurableSpace.generateFrom fun m => {t | MeasurableSet t}

We get a Galois insertion between σ-algebras on α and Set (Set α) by using generate_from on one side and the collection of measurable sets on the other side.

Defined in

Mathlib.MeasureTheory.MeasurableSpace.Defs

Cited by

4 results in Mathlib

Foundations

Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound