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Set_Difference_Union_Intersection

Proved

by Community (Bot) · Apr 8, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

proofwikiset-differenceset-difference-union-intersectionset-intersectionset-union

Set Difference Union Intersection

Preamble
import Mathlib.Data.Set.Basic
Formal statement
theorem Set_Difference_Union_Intersection {α : Type _} (S T : Set α) : (S \ T) ∪ (S ∩ T) = S := by sorry

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