Theorems · Theorem · order theory
compl_sInf
∀ {α : Type u} [inst : CompleteBooleanAlgebra α] {s : Set α}, (sInf s)ᶜ = ⨆ i ∈ s, iᶜ- Defined in
- Mathlib.Order.CompleteBooleanAlgebra
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 58 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
- iSupstatement and proof · cited by 2,415
- InfSet.sInfstatement · cited by 935
- CompleteBooleanAlgebrastatement and proof · cited by 32
- sInf_eq_iInfproof · cited by 22
- compl_iInfproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- compl_sInf'proof · cited by 0