Theorems · Theorem · order theory
sSup_inf_sSup
∀ {α : Type u} [inst : Order.Frame α] {s t : Set α}, sSup s ⊓ sSup t = ⨆ p ∈ s ×ˢ t, p.1 ⊓ p.2- Defined in
- Mathlib.Order.CompleteBooleanAlgebra
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
- Assumes
- Order.Frame
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
- iSupstatement and proof · cited by 2,415
- SProd.sprodstatement and proof · cited by 1,750
- SupSet.sSupstatement · cited by 954
- Order.Framestatement and proof · cited by 88
- sSup_eq_iSupproof · cited by 42
- biSup_inf_biSupproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Set.sUnion_inter_sUnionproof · cited by 0