Theorems · Theorem · order theory
compl_sSup
∀ {α : Type u} [inst : CompleteBooleanAlgebra α] {s : Set α}, (sSup s)ᶜ = ⨅ i ∈ s, iᶜ- Defined in
- Mathlib.Order.CompleteBooleanAlgebra
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteBooleanAlgebra
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
- Compl.complstatement and proof · cited by 2,925
- iInfstatement and proof · cited by 1,690
- SupSet.sSupstatement · cited by 954
- sSup_eq_iSupproof · cited by 42
- CompleteBooleanAlgebrastatement and proof · cited by 32
- compl_iSupproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- compl_sSup'proof · cited by 0