Theorems · Theorem · order theory
Finset.sup_eq_sSup_image
∀ {α : Type u_2} {β : Type u_3} [inst : CompleteLattice β] (s : Finset α) (f : α → β), s.sup f = sSup (f '' ↑s)- Defined in
- Mathlib.Data.Finset.Lattice.Fold
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteLattice
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement · cited by 8,199
- Set.imagestatement · cited by 5,609
- CompleteLatticestatement and proof · cited by 1,048
- SupSet.sSupstatement and proof · cited by 954
- Finset.imageproof · cited by 910
- Finset.supstatement and proof · cited by 530
- Finset.coe_imageproof · cited by 222
- Finset.sup_imageproof · cited by 28
- Finset.sup_id_eq_sSupproof · cited by 12
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