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Theorems · Definition · general topology

UniformSpace.replaceTopology

{α : Type u_2} → [i : TopologicalSpace α] → (u : UniformSpace α) → i = u.toTopologicalSpace → UniformSpace α

Replace topology in a UniformSpace instance with a propositionally (but possibly not definitionally) equal one.

Defined in
Mathlib.Topology.UniformSpace.Defs
Cited by
2 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace

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