Theorems · Theorem · general topology

Set.Equicontinuous.continuous_of_mem

∀ {X : Type u_3} {α : Type u_6} [tX : TopologicalSpace X] [uα : UniformSpace α] {H : Set (X → α)},
  H.Equicontinuous → ∀ {f : X → α}, f ∈ H → Continuous f

Defined in

Mathlib.Topology.UniformSpace.Equicontinuity

Cited by

0 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceUniformSpace