Theorems · Theorem · sequences and series
Set.Finite.multipliable_compl_iff
∀ {α : Type u_1} {β : Type u_2} [inst : CommGroup α] [inst_1 : TopologicalSpace α] [IsTopologicalGroup α] {f : β → α}
{s : Set β}, s.Finite → (Multipliable (f ∘ Subtype.val) ↔ Multipliable f)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- TopologicalSpacestatement and proof · cited by 24,529
- Set.Elemstatement · cited by 7,166
- Compl.complstatement · cited by 2,925
- SummationFilter.unconditionalstatement · cited by 2,068
- Set.Finitestatement and proof · cited by 1,814
- CommGroupstatement and proof · cited by 990
- IsTopologicalGroupstatement and proof · cited by 469
- Multipliablestatement · cited by 213
- Multipliable.multipliable_compl_iffproof · cited by 2
- Set.Finite.multipliableproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Multipliable.congr_cofiniteproof · cited by 2