Theorems · Theorem · order theory
Set.image_sSup
∀ {α : Type u_2} {β : Type u_3} {f : α → β} (s : Set (Set α)), f '' sSup s = sSup (Set.image f '' s)- Defined in
- Mathlib.Order.Hom.CompleteLattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.imagestatement · cited by 5,609
- SupSet.sSupstatement · cited by 954
- Set.image_sUnionproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- sSupHom.setImageproof · cited by 2