Theorems · Theorem · order theory
sdiff_sdiff_sup_sdiff
∀ {α : Type u} {x y z : α} [inst : GeneralizedBooleanAlgebra α], z \ (x \ y ⊔ y \ x) = z ⊓ (z \ x ⊔ y) ⊓ (z \ y ⊔ x)- Defined in
- Mathlib.Order.BooleanAlgebra.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GeneralizedBooleanAlgebra
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- GeneralizedBooleanAlgebrastatement and proof · cited by 204
- sup_commproof · cited by 165
- inf_idemproof · cited by 37
- sup_inf_leftproof · cited by 22
- sup_inf_sdiffproof · cited by 13
- sdiff_supproof · cited by 7
- sdiff_sdiff_rightproof · cited by 4
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