Theorems · Theorem · general topology

UniformSpace.replaceTopology.congr_simp

∀ {α : Type u_2} [i : TopologicalSpace α] (u u_1 : UniformSpace α) (e_u : u = u_1) (h : i = u.toTopologicalSpace),
  u.replaceTopology h = u_1.replaceTopology ⋯

Defined in: Mathlib.Topology.UniformSpace.CompactConvergence
Cited by: 0 results in Mathlib
Foundations: Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace

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TopologicalSpacestatement and proof · cited by 24,529
UniformSpacestatement and proof · cited by 2,040
UniformSpace.replaceTopologystatement and proof · cited by 2

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