Theorems · Theorem · sequences and series
Summable.subtype
∀ {α : Type u_1} {β : Type u_2} [inst : UniformSpace α] [inst_1 : AddCommGroup α] [IsUniformAddGroup α] {f : β → α}
[CompleteSpace α], Summable f → ∀ (p : β → Prop), Summable (f ∘ Subtype.val)- Cited by
- 15 results in Mathlib
- Foundations
- Depth 86 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.
- AddCommGroupstatement and proof · cited by 12,871
- CompleteSpacestatement and proof · cited by 2,532
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- UniformSpacestatement and proof · cited by 2,040
- Summablestatement and proof · cited by 778
- IsUniformAddGroupstatement and proof · cited by 342
- Subtype.coe_injectiveproof · cited by 205
- Summable.comp_injectiveproof · cited by 22
Cited by15
Results whose statement or proof uses this declaration.
- tendstoUniformlyOn_tsumproof · cited by 9
- tendstoUniformlyOn_tsum_of_cofinite_eventuallyproof · cited by 6
- tendsto_tsum_of_dominated_convergenceproof · cited by 2
- Summable.tsum_subtype_add_tsum_subtype_complproof · cited by 2
- Summable.tsum_subtype_leproof · cited by 2
- EulerProduct.exp_tsum_primes_log_eq_tsumproof · cited by 1
- tsum_eisSummand_eq_riemannZeta_mul_eisensteinSeriesproof · cited by 1
- contDiff_tsum_of_eventuallyproof · cited by 1
- summable_subtype_and_complproof · cited by 1
- EisensteinSeries.eisensteinSeries_tendstoLocallyUniformlyproof · cited by 1
- EisensteinSeries.norm_le_tsum_normproof · cited by 1
- HasSum.tsum_fiberwiseproof · cited by 1