Commit 2022-06-28 09:03 3594b635

feat(probability_theory/independence): if a family of pi-systems is independent, then so are the generated measurable spaces (#9387) The main result in this PR is Indep_sets.Indep: if π-systems are independent as sets of sets, then the measurable space structures they generate are independent. We already had a version of this for two pi-systems instead of a family. In order to prove this, and as preparation for a next PR about Kolmogorov's 0-1 law, a definition pi_Union_Inter is introduced to build a particular pi-system from a family of pi-systems.