Theorems · Theorem · sequences and series
Summable.sigma_factor
∀ {α : Type u_1} {β : Type u_2} [inst : AddCommGroup α] [inst_1 : UniformSpace α] [IsUniformAddGroup α]
[CompleteSpace α] {γ : β → Type u_4} {f : (b : β) × γ b → α}, Summable f → ∀ (b : β), Summable fun c => f ⟨b, c⟩- Cited by
- 3 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
- sigma_mk_injectiveproof · cited by 27
- Summable.comp_injectiveproof · cited by 22
Cited by3
Results whose statement or proof uses this declaration.
- NNReal.summable_sigmaproof · cited by 7
- Summable.tsum_sigmaproof · cited by 2
- Summable.sigmaproof · cited by 2