Theorems · Theorem · order theory
Finset.supIndep_map
∀ {α : Type u_1} {ι : Type u_3} {ι' : Type u_4} [inst : Lattice α] [inst_1 : OrderBot α] {f : ι → α} {s : Finset ι'}
{g : ι' ↪ ι}, (Finset.map g s).SupIndep f ↔ s.SupIndep (f ∘ ⇑g)- Defined in
- Mathlib.Order.SupIndep
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsetstatement and proof · cited by 13,712
- Disjointproof · cited by 2,201
- OrderBotstatement and proof · cited by 1,055
- Function.Embeddingstatement and proof · cited by 988
- Latticestatement and proof · cited by 916
- Finset.mapstatement and proof · cited by 747
- Finset.SupIndepstatement and proof · cited by 52
- Finset.map_eq_imageproof · cited by 50
- Finset.mem_map'proof · cited by 12
- Finset.map_subset_mapproof · cited by 7
- Finset.sup_mapproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Finset.supIndep_attachproof · cited by 1