Theorems · Theorem · order theory
sdiff_eq
∀ {α : Type u} {x y : α} [inst : BooleanAlgebra α], x \ y = x ⊓ yᶜ- Defined in
- Mathlib.Order.BooleanAlgebra.Basic
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- BooleanAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Compl.complstatement · cited by 2,925
- BooleanAlgebrastatement and proof · cited by 300
- BooleanAlgebra.sdiff_eqproof · cited by 1
Cited by18
Results whose statement or proof uses this declaration.
- sdiff_complproof · cited by 8
- BooleanSubalgebra.sdiff_memproof · cited by 5
- compl_sdiffproof · cited by 3
- compl_sdiff_complproof · cited by 3
- Finset.infs_compls_eq_diffsproof · cited by 3
- compl_symmDiff_complproof · cited by 3
- Finset.sdiff_eq_inter_complproof · cited by 2
- symmDiff_eqproof · cited by 2
- symmDiff_eq'proof · cited by 2
- disjointed_eq_inf_complproof · cited by 1
- sup_inf_inf_complproof · cited by 1
- BooleanSubalgebra.mem_closure_iff_sup_sdiffproof · cited by 1