Theorems · Theorem · order theory
symmDiff_assoc
∀ {α : Type u_2} [inst : GeneralizedBooleanAlgebra α] (a b c : α), symmDiff (symmDiff a b) c = symmDiff a (symmDiff b c)- Defined in
- Mathlib.Order.SymmDiff
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GeneralizedBooleanAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- symmDiffstatement and proof · cited by 236
- GeneralizedBooleanAlgebrastatement and proof · cited by 204
- symmDiff_symmDiff_leftproof · cited by 1
- symmDiff_symmDiff_rightproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- bihimp_assocproof · cited by 3
- symmDiff_symmDiff_cancel_rightproof · cited by 1
- symmDiff_symmDiff_symmDiff_commproof · cited by 0
- symmDiff_right_commproof · cited by 0