Theorems · Theorem · order theory
supClosed_countableSupClosure
∀ {α : Type u_2} {s : Set α} [inst : SemilatticeSup α], SupClosed (countableSupClosure s)- Defined in
- Mathlib.Order.CountableSupClosed
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemilatticeSup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- SemilatticeSupstatement and proof · cited by 785
- ClosureOperatorstatement · cited by 371
- SupClosedstatement · cited by 57
- countableSupClosurestatement · cited by 21
- countableSupClosed_countableSupClosureproof · cited by 5
- CountableSupClosed.supClosedproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- finsetSup'_mem_countableSupClosureproof · cited by 0
- sup_mem_countableSupClosureproof · cited by 0