Theorems · Theorem · order theory
Set.compl_inter
∀ {α : Type u_1} (s t : Set α), (s ∩ t)ᶜ = sᶜ ∪ tᶜ- Defined in
- Mathlib.Order.BooleanAlgebra.Set
- Cited by
- 26 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.
Cites3
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
- Compl.complstatement · cited by 2,925
- compl_infproof · cited by 12
Cited by26
Results whose statement or proof uses this declaration.
- IsClosed.interproof · cited by 61
- closure_unionproof · cited by 13
- IsOpen.inter_closureproof · cited by 8
- MeasureTheory.Measure.eq_singularPartproof · cited by 6
- isPreconnected_closed_iffproof · cited by 6
- frontier_inter_subsetproof · cited by 4
- Filter.mem_inf_principal'proof · cited by 2
- SubMulAction.IsPretransitive.isPretransitive_ofFixingSubgroup_interproof · cited by 2
- MeasureTheory.VectorMeasure.MutuallySingular.add_leftproof · cited by 2
- compl_frontier_eq_union_interiorproof · cited by 2
- Matroid.isBase_compl_iff_maximal_disjoint_isBaseproof · cited by 1
- SubMulAction.IsPreprimitive.isPreprimitive_ofFixingSubgroup_interproof · cited by 1