Theorems · Theorem · order theory
symmDiff_symmDiff_left
∀ {α : Type u_2} [inst : GeneralizedBooleanAlgebra α] (a b c : α),
symmDiff (symmDiff a b) c = a \ (b ⊔ c) ⊔ b \ (a ⊔ c) ⊔ c \ (a ⊔ b) ⊔ a ⊓ b ⊓ c- Defined in
- Mathlib.Order.SymmDiff
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 57 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.
Cites6
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
- sup_commproof · cited by 165
- symmDiff_defproof · cited by 4
- symmDiff_sdiffproof · cited by 3
- sdiff_symmDiff'proof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- symmDiff_assocproof · cited by 4