Theorems · Theorem · order theory
Set.compl_compl_image
∀ {α : Type u_1} [inst : BooleanAlgebra α] (s : Set α), compl '' compl '' s = s- Defined in
- Mathlib.Data.Set.Image
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- BooleanAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Set.imagestatement and proof · cited by 5,609
- Compl.complstatement and proof · cited by 2,925
- BooleanAlgebrastatement and proof · cited by 300
- Set.image_compproof · cited by 142
- Set.image_idproof · cited by 60
- compl_comp_complproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Set.compl_sInterproof · cited by 3
- isMeagre_iff_countable_union_isNowhereDenseproof · cited by 3