Theorems · Theorem · order theory
Set.sdiff_union_self
∀ {α : Type u_1} {s t : Set α}, s \ t ∪ t = s ∪ t- Defined in
- Mathlib.Order.BooleanAlgebra.Set
- Cited by
- 30 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- sdiff_sup_selfproof · cited by 6
Cited by30
Results whose statement or proof uses this declaration.
- Matroid.Indep.contract_indep_iffproof · cited by 9
- Set.Ioo_union_rightproof · cited by 5
- Matroid.IsBasis'.contract_indep_iffproof · cited by 4
- Matroid.IsCircuit.contract_isCircuitproof · cited by 4
- Set.Ioo_union_leftproof · cited by 4
- Set.Ico_union_rightproof · cited by 3
- Matroid.IsBasis'.contract_isBasis'_sdiff_sdiff_of_subsetproof · cited by 3
- Set.Ioc_union_leftproof · cited by 3
- Set.encard_union_add_encard_interproof · cited by 3
- Matroid.IsCircuit.strong_multi_eliminationproof · cited by 2
- Matroid.sdiff_indep_iff_indep_of_subset_coloopsproof · cited by 2
- VitaliFamily.FineSubfamilyOn.measure_le_tsum_of_absolutelyContinuousproof · cited by 2