Theorems · Theorem · sequences and series
Equiv.summable_iff
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : AddCommMonoid α] [inst_1 : TopologicalSpace α] {f : β → α}
(e : γ ≃ β), Summable (f ∘ ⇑e) ↔ Summable f- Cited by
- 17 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- AddCommMonoidstatement and proof · cited by 12,281
- Equivstatement and proof · cited by 8,337
- SummationFilter.unconditionalstatement · cited by 2,068
- Summablestatement · cited by 778
- Equiv.hasSum_iffproof · cited by 18
Cited by17
Results whose statement or proof uses this declaration.
- EisensteinSeries.summable_one_div_norm_rpowproof · cited by 4
- PeriodPair.summable_weierstrassPExceptSummandproof · cited by 3
- FormalMultilinearSeries.changeOriginSeries_summable_aux₁proof · cited by 3
- Summable.prodproof · cited by 3
- Summable.prod_symmproof · cited by 3
- EulerProduct.summable_and_hasSum_factoredNumbers_prod_filter_prime_tsumproof · cited by 3
- summable_prod_mul_powproof · cited by 2
- ContinuousMap.periodic_tsum_comp_add_zsmulproof · cited by 2
- summable_mul_prod_iff_summable_mul_sigma_antidiagonalproof · cited by 2
- summable_pnat_iff_summable_succproof · cited by 2
- summable_prod_eisSummandproof · cited by 1
- summable_prod_of_nonnegproof · cited by 1