symmDiff_assoc — Mathlib

English

SymmDiff commutes in a manner that respects the grouping of four elements: symmDiff (symmDiff a b) (symmDiff c d) relates to symmDiff (symmDiff a c) (symmDiff b d).

Русский

Коммутативность симмDiff между двумя парами элементов в общем виде: symmDiff (symmDiff a b) (symmDiff c d) соотносится с symmDiff (symmDiff a c) (symmDiff b d).

LaTeX

$$∀ a b c d, symmDiff (symmDiff a b) (symmDiff c d) = symmDiff (symmDiff a c) (symmDiff b d)$$

Lean4

theorem symmDiff_assoc : a ∆ b ∆ c = a ∆ (b ∆ c) := by rw [symmDiff_symmDiff_left, symmDiff_symmDiff_right]

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