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Theorems · Theorem · order theory

BooleanAlgebra.sdiff_eq

∀ {α : Type u} [self : BooleanAlgebra α] (x y : α), x \ y = x ⊓ yᶜ

x \ y is equal to x ⊓ yᶜ

Defined in
Mathlib.Order.BooleanAlgebra.Defs
Cited by
1 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
BooleanAlgebra
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

sdiff_eq · cited by 18sdiff_eqFintype.toCompleteBooleanAlgebra · cited by 0Fintype.toCompleteBoolean…Function.Injective.completeBooleanAlgebra · cited by 0Injective.completeBoolean…IsSimpleOrder.completeBooleanAlgebra · cited by 0IsSimpleOrder.completeBoo…Compl.compl · cited by 2925Compl.complBooleanAlgebra · cited by 300BooleanAlgebraLattice.inf · cited by 18Lattice.infLattice.inf_le_left · cited by 12Lattice.inf_le_leftLattice.inf_le_right · cited by 12Lattice.inf_le_rightLattice.le_inf · cited by 12Lattice.le_infBooleanAlgebra.sdiff_eqCITED BYCITES

Cites6

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Cited by4

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