Theorems · Theorem · order theory
sup_sdiff_symmDiff
∀ {α : Type u_2} [inst : GeneralizedBooleanAlgebra α] (a b : α), (a ⊔ b) \ symmDiff a b = a ⊓ b- 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- symmDiffstatement · cited by 236
- GeneralizedBooleanAlgebrastatement and proof · cited by 204
- inf_le_supproof · cited by 14
- symmDiff_eq_sup_sdiff_infproof · cited by 8
- sdiff_eq_symmproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- inf_himp_bihimpproof · cited by 0