Theorems · Theorem · order theory
Finset.inf_map
∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : SemilatticeInf α] [inst_1 : OrderTop α] (s : Finset γ)
(f : γ ↪ β) (g : β → α), (Finset.map f s).inf g = s.inf (g ∘ ⇑f)- Defined in
- Mathlib.Data.Finset.Lattice.Fold
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
- Assumes
- SemilatticeInfOrderTop
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
- Function.Embeddingstatement and proof · cited by 988
- Finset.mapstatement · cited by 747
- SemilatticeInfstatement and proof · cited by 634
- OrderTopstatement and proof · cited by 493
- Finset.infstatement · cited by 219
- Finset.fold_mapproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Finset.inf'_mapproof · cited by 2
- Finset.inf_attachproof · cited by 0