Theorems · Theorem · sequences and series

MultipliableLocallyUniformlyOn_congr

∀ {α : Type u_1} {β : Type u_2} {ι : Type u_3} [inst : CommMonoid 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) → MultipliableLocallyUniformlyOn f s → MultipliableLocallyUniformlyOn f' s

Defined in

Mathlib.Topology.Algebra.InfiniteSum.UniformOn

Cited by

0 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidUniformSpaceTopologicalSpace