Theorems · Theorem · order theory
Concept.extent_sSup
∀ {α : Type u_2} {β : Type u_3} {r : α → β → Prop} (S : Set (Concept α β r)),
(sSup S).extent = lowerPolar r (⋂ i ∈ S, i.intent)- Defined in
- Mathlib.Order.Concept
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
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
- Set.iInterstatement · cited by 1,084
- SupSet.sSupstatement and proof · cited by 954
- Conceptstatement and proof · cited by 78
- Concept.extentstatement and proof · cited by 52
- Concept.intentstatement · cited by 51
- lowerPolarstatement · cited by 49
Cited by1
Results whose statement or proof uses this declaration.
- Concept.extent_iSupproof · cited by 0