Theorems · Theorem · order theory
disjoint_sdiff_self_left
∀ {α : Type u} {x y : α} [inst : GeneralizedBooleanAlgebra α], Disjoint (y \ x) x- Defined in
- Mathlib.Order.BooleanAlgebra.Basic
- Cited by
- 21 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Disjointstatement · cited by 2,201
- Eq.leproof · cited by 605
- GeneralizedBooleanAlgebrastatement and proof · cited by 204
- disjoint_iff_inf_leproof · cited by 64
- inf_sdiff_self_leftproof · cited by 4
Cited by21
Results whose statement or proof uses this declaration.
- Set.disjoint_sdiff_leftproof · cited by 25
- sdiff_eq_leftproof · cited by 15
- le_sdiffproof · cited by 4
- MeasureTheory.setIntegral_sdiff₀proof · cited by 3
- Set.mulIndicator_sdiffproof · cited by 2
- Finset.sum_sdiff_eq_sum_sdiff_iffproof · cited by 2
- Finset.prod_sdiff_eq_prod_sdiff_iffproof · cited by 2
- sdiff_eq_rightproof · cited by 1
- Cardinal.mk_sdiff_add_mkproof · cited by 1
- codisjoint_himp_self_leftproof · cited by 1
- Finset.filter_powersetCard_subsetproof · cited by 1
- UV.compress_sdiff_sdiffproof · cited by 1