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Theorems · Theorem · sequences and series

HasProdUniformly.multipliableUniformly

∀ {α : Type u_1} {β : Type u_2} {ι : Type u_3} [inst : CommMonoid α] {f : ι → β → α} {g : β → α}
  [inst_1 : UniformSpace α], HasProdUniformly f g → MultipliableUniformly f
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.

multipliableUniformlyOn_univ_iff · cited by 1multipliableUniformlyOn_u…multipliableUniformly_iff_hasProdUniformly · cited by 0multipliableUniformly_iff…CommMonoid · cited by 2264CommMonoidUniformSpace · cited by 2040UniformSpaceHasProdUniformly · cited by 12HasProdUniformlyMultipliableUniformly · cited by 7MultipliableUniformlyHasProdUniformly.multipliable…CITED BYCITES

Cites4

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Cited by2

Results whose statement or proof uses this declaration.