Theorems · Theorem · order theory
sup_inf_inf_sdiff
∀ {α : Type u} {x y z : α} [inst : GeneralizedBooleanAlgebra α], x ⊓ y ⊓ z ⊔ y \ z = x ⊓ y ⊔ y \ z- Defined in
- Mathlib.Order.BooleanAlgebra.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 52 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.
- GeneralizedBooleanAlgebrastatement and proof · cited by 204
- inf_assocproof · cited by 53
- inf_sup_rightproof · cited by 26
- sup_inf_rightproof · cited by 22
- sup_inf_sdiffproof · cited by 13
- inf_sdiff_leftproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- sdiff_sdiff_rightproof · cited by 4
- inf_sdiffproof · cited by 2
- sdiff_sdiff_right'proof · cited by 2