Theorems · Theorem · order theory
GeneralizedBooleanAlgebra.sup_inf_sdiff
∀ {α : Type u} [self : GeneralizedBooleanAlgebra α] (a b : α), a ⊓ b ⊔ a \ b = aFor any a, b, (a ⊓ b) ⊔ (a / b) = a
- Defined in
- Mathlib.Order.BooleanAlgebra.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- 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.
- GeneralizedBooleanAlgebrastatement and proof · cited by 204
- Lattice.infstatement · cited by 18
- Lattice.inf_le_leftstatement · cited by 12
- Lattice.inf_le_rightstatement · cited by 12
- Lattice.le_infstatement · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- sup_inf_sdiffproof · cited by 13