Theorems · Theorem · sequences and series
hasSum_extend_zero
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : AddCommMonoid α] [inst_1 : TopologicalSpace α] {f : β → α}
{a : α} {g : β → γ}, Function.Injective g → (HasSum (Function.extend g f 0) a ↔ HasSum f a)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- TopologicalSpacestatement and proof · cited by 24,529
- AddCommMonoidstatement and proof · cited by 12,281
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- HasSumstatement and proof · cited by 518
- Function.extendstatement · cited by 111
- Function.extend_apply'proof · cited by 30
- Function.extend_compproof · cited by 10
- Function.Injective.hasSum_iffproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.VectorMeasure.hasSum_of_disjoint_iUnionproof · cited by 2
- hasSum_le_injproof · cited by 1
- summable_extend_zeroproof · cited by 0