Intersection_Distributes_over_Symmetric_Difference
Proveddistributive-operationsproofwikiset-intersectionsymmetric-difference
Intersection distributes over symmetric difference: (R △ S) ∩ T = (R ∩ T) △ (S ∩ T)
Preamble
import Mathlib.Order.SymmDiff import Mathlib.Data.Set.Basic
Formal statement
theorem Intersection_Distributes_over_Symmetric_Difference {α : Type _} (R S T : Set α) : symmDiff R S ∩ T = symmDiff (R ∩ T) (S ∩ T) := by sorrySource