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Symmetric_Difference_with_Empty_Set

Proved

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

empty-setproofwikisymmetric-difference

The symmetric difference of a set S with the empty set is S: S △ ∅ = S

Preamble
import Mathlib.Order.SymmDiff
import Mathlib.Data.Set.Basic
Formal statement
theorem Symmetric_Difference_with_Empty_Set {α : Type _} (S : Set α) : symmDiff S ∅ = S := by sorry
Source
https://proofwiki.org/wiki/Symmetric_Difference_with_Empty_Set

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