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Theorems · Definition · general topology

UniformOnFun.ofFun

{α : Type u_1} → {β : Type u_2} → (𝔖 : Set (Set α)) → (α → β) ≃ UniformOnFun α β 𝔖

Reinterpret f : α → β as an element of α →ᵤ[𝔖] β.

Defined in
Mathlib.Topology.UniformSpace.UniformConvergenceTopology
Cited by
63 results in Mathlib
Foundations
Depth 10 from the axioms · uses no axioms

Around this declaration

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Cites3

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
  • Equivstatement · cited by 8,337
  • UniformOnFunstatement and proof · cited by 150

Cited by72

Results whose statement or proof uses this declaration.