Theorems · Theorem · sequences and series
SummableLocallyUniformlyOn_congr
∀ {α : Type u_1} {β : Type u_2} {ι : Type u_3} [inst : AddCommMonoid α] {s : Set β} [inst_1 : UniformSpace α]
[inst_2 : TopologicalSpace β] {f f' : ι → β → α},
(∀ (i : ι), Set.EqOn (f i) (f' i) s) → SummableLocallyUniformlyOn f s → SummableLocallyUniformlyOn f' s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Finsetproof · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- UniformSpacestatement and proof · cited by 2,040
- Set.EqOnstatement and proof · cited by 603
- SummableLocallyUniformlyOnstatement and proof · cited by 17
- HasSumLocallyUniformlyOn.summableLocallyUniformlyOnproof · cited by 7
- TendstoLocallyUniformlyOn.congrproof · cited by 3
- SummableLocallyUniformlyOn.hasSumLocallyUniformlyOnproof · cited by 3
- eqOn_fun_finsetSumproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- iteratedDerivWithin_tsumproof · cited by 1