UniformFun.isClosed_setOfPred_continuous

∀ (α : Type u_1) {β : Type u_2} [inst : UniformSpace β] [inst_1 : TopologicalSpace α],
  IsClosed {f | Continuous (UniformFun.toFun f)}

The set of continuous functions is closed in the uniform convergence topology. This is a simple wrapper over TendstoUniformly.continuous.

Defined in: Mathlib.Topology.UniformSpace.UniformConvergenceTopology
Cited by: 1 results in Mathlib
Foundations: Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: UniformSpace TopologicalSpace

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