UniformFun.iInf_eq

∀ {α : Type u_1} {γ : Type u_3} {ι : Type u_4} {u : ι → UniformSpace γ},
  UniformFun.uniformSpace α γ = ⨅ i, UniformFun.uniformSpace α γ

If u is a family of uniform structures on γ, then 𝒰(α, γ, (⨅ i, u i)) = ⨅ i, 𝒰(α, γ, u i).

Defined in: Mathlib.Topology.UniformSpace.UniformConvergenceTopology
Cited by: 6 results in Mathlib
Foundations: Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

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