Theorems · Theorem · order theory
sdiff_sdiff_right_self
∀ {α : Type u} {x y : α} [inst : GeneralizedBooleanAlgebra α], x \ (x \ y) = x ⊓ y- Defined in
- Mathlib.Order.BooleanAlgebra.Basic
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 54 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.
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
- sdiff_selfproof · cited by 38
- inf_idemproof · cited by 37
- bot_sup_eqproof · cited by 32
- sdiff_sdiff_rightproof · cited by 4
Cited by20
Results whose statement or proof uses this declaration.
- sdiff_sdiff_eq_selfproof · cited by 6
- Set.sdiff_sdiff_right_selfproof · cited by 5
- MeasureTheory.sdiff_ae_eq_selfproof · cited by 4
- Matroid.isColoop_tfaeproof · cited by 4
- Matroid.IsBase.exchange_isBase_of_indepproof · cited by 3
- Set.Infinite.inter_of_finite_sdiffproof · cited by 2
- mem_codiscreteproof · cited by 2
- Matroid.IsCircuit.contract_sdiff_isCircuitproof · cited by 2
- Matroid.isBase_compl_iff_maximal_disjoint_isBaseproof · cited by 1
- Matroid.uniqueBaseOn_dual_eqproof · cited by 1
- Filter.TendstoCofinite.finite_preimageproof · cited by 1
- Matroid.IsBase.inter_isBasis_iff_compl_inter_isBasis_dualproof · cited by 1