Theorems · Theorem · order theory
Finset.sup_map
∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : SemilatticeSup α] [inst_1 : OrderBot α] (s : Finset γ)
(f : γ ↪ β) (g : β → α), (Finset.map f s).sup g = s.sup (g ∘ ⇑f)- Defined in
- Mathlib.Data.Finset.Lattice.Fold
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
- Assumes
- SemilatticeSupOrderBot
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Finsetstatement and proof · cited by 13,712
- OrderBotstatement and proof · cited by 1,055
- Function.Embeddingstatement and proof · cited by 988
- SemilatticeSupstatement and proof · cited by 785
- Finset.mapstatement · cited by 747
- Finset.supstatement · cited by 530
- Finset.fold_mapproof · cited by 2
Cited by7
Results whose statement or proof uses this declaration.
- Finset.sup'_mapproof · cited by 2
- MvPolynomial.degreeOf_mul_X_of_neproof · cited by 2
- Finset.SupIndep.sigmaproof · cited by 1
- MvPolynomial.degreeOf_mul_X_eq_degreeOf_add_one_iffproof · cited by 1
- Finset.supIndep_mapproof · cited by 1
- Finset.sup_attachproof · cited by 0
- Finset.supIndep_sigma_iff'proof · cited by 0