Theorems · Theorem · sequences and series
summable_extend_zero
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : AddCommMonoid α] [inst_1 : TopologicalSpace α] {f : β → α}
{g : β → γ}, Function.Injective g → (Summable (Function.extend g f 0) ↔ Summable f)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- AddCommMonoidstatement and proof · cited by 12,281
- SummationFilter.unconditionalstatement · cited by 2,068
- Summablestatement · cited by 778
- Function.extendstatement · cited by 111
- hasSum_extend_zeroproof · cited by 3
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