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Theorems · Theorem · sequences and series

MultipliableUniformly.exists

∀ {α : Type u_1} {β : Type u_2} {ι : Type u_3} [inst : CommMonoid α] {f : ι → β → α} [inst_1 : UniformSpace α],
  MultipliableUniformly f → ∃ g, HasProdUniformly f g
Defined in
Mathlib.Topology.Algebra.InfiniteSum.UniformOn
Cited by
2 results in Mathlib
Foundations
Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommMonoidUniformSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MultipliableUniformly.multipliableUniformlyOn · cited by 1MultipliableUniformly.mul…MultipliableUniformly.multipliable · cited by 0MultipliableUniformly.mul…CommMonoid · cited by 2264CommMonoidUniformSpace · cited by 2040UniformSpaceHasProdUniformly · cited by 12HasProdUniformlyMultipliableUniformly · cited by 7MultipliableUniformlyMultipliableUniformly.existsCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.