Theorems · Theorem · sequences and series
multipliable_of_exists_eq_zero
∀ {α : Type u_1} {β : Type u_2} [inst : CommMonoidWithZero α] [inst_1 : TopologicalSpace α] {f : β → α}
{L : SummationFilter β}, (∃ b, f b = 0) → ∀ [L.LeAtTop], Multipliable f L- Cited by
- 2 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- CommMonoidWithZerostatement and proof · cited by 913
- SummationFilterstatement and proof · cited by 607
- Multipliablestatement · cited by 213
- SummationFilter.LeAtTopstatement and proof · cited by 80
- hasProd_zero_of_exists_eq_zeroproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Nat.Partition.multipliable_powerSeriesMk_card_countRestrictedproof · cited by 1
- Complex.multipliable_of_summable_logproof · cited by 1