Theorems · Theorem · order theory
compl_image_latticeClosure
∀ {α : Type u_3} [inst : BooleanAlgebra α] (s : Set α), compl '' latticeClosure s = latticeClosure (compl '' s)- Defined in
- Mathlib.Order.SupClosed
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 65 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Set.imagestatement · cited by 5,609
- Compl.complstatement and proof · cited by 2,925
- ClosureOperatorstatement · cited by 371
- BooleanAlgebrastatement and proof · cited by 300
- latticeClosurestatement · cited by 24
- compl_infproof · cited by 12
- compl_sup_distribproof · cited by 5
- image_latticeClosure'proof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- compl_image_latticeClosure_eq_of_compl_image_eq_selfproof · cited by 0