BoundedContinuousFunction.isInducing_coeFn

∀ {α : Type u} {β : Type v} [inst : TopologicalSpace α] [inst_1 : PseudoMetricSpace β],
  Topology.IsInducing (⇑UniformFun.ofFun ∘ DFunLike.coe)

The topology on α →ᵇ β is exactly the topology induced by the natural map to α →ᵤ β.

Defined in: Mathlib.Topology.ContinuousMap.Bounded.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace PseudoMetricSpace

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