Ring_of_Sets_Generated_by_Semiring
Provedmeasure-theoryproofwiki
Every semiring of sets generates a minimal ring of sets containing it.
Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem Ring_of_Sets_Generated_by_Semiring {α : Type _} (S : Set (Set α)) : ∃ R : Set (Set α), S ⊆ R ∧ ∀ A B : Set α, A ∈ R → B ∈ R → A ∪ B ∈ R ∧ A \ B ∈ R := by sorrySource