Theorems · Theorem · order theory
symmDiff_eq_sup_sdiff_inf
∀ {α : Type u_2} [inst : GeneralizedCoheytingAlgebra α] (a b : α), symmDiff a b = (a ⊔ b) \ (a ⊓ b)- Defined in
- Mathlib.Order.SymmDiff
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- GeneralizedCoheytingAlgebra
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
- GeneralizedCoheytingAlgebrastatement and proof · cited by 95
- sup_sdiffproof · cited by 8
- sdiff_inf_self_leftproof · cited by 5
- sdiff_inf_self_rightproof · cited by 4
Cited by8
Results whose statement or proof uses this declaration.
- le_symmDiff_iff_leftproof · cited by 2
- symmDiff_eq_supproof · cited by 2
- inf_symmDiff_distrib_leftproof · cited by 2
- symmDiff_eq'proof · cited by 2
- ofBoolAlg_symmDiffproof · cited by 1
- Disjoint.symmDiff_leftproof · cited by 1
- sup_sdiff_symmDiffproof · cited by 1
- disjoint_symmDiff_infproof · cited by 1