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Theorems · Theorem · general topology

UniformEquiv.completeSpace_iff

∀ {α : Type u} {β : Type u_1} [inst : UniformSpace α] [inst_1 : UniformSpace β] (h : α ≃ᵤ β),
  CompleteSpace α ↔ CompleteSpace β
Defined in
Mathlib.Topology.UniformSpace.Equiv
Cited by
2 results in Mathlib
Foundations
Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpaceUniformSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsTopologicalGroup.completeSpace_rightUniformSpace_iff_leftUniformSpace · cited by 0IsTopologicalGroup.comple…IsTopologicalAddGroup.completeSpace_rightUniformSpace_iff_leftUniformSpace · cited by 0IsTopologicalAddGroup.com…CompleteSpace · cited by 2532CompleteSpaceUniformSpace · cited by 2040UniformSpaceUniformEquiv · cited by 80UniformEquivcompleteSpace_congr · cited by 5completeSpace_congrUniformEquiv.isUniformEmbedding · cited by 5UniformEquiv.isUniformEmb…UniformEquiv.completeSpace_iffCITED BYCITES

Cites5

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Cited by2

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