Theorems · Theorem · general topology
Filter.totallyBounded_comap
∀ {α : Type u} {β : Type v} [inst : UniformSpace α] [inst_1 : UniformSpace β] {f : α → β} {F : Filter β},
IsUniformInducing f → F.TotallyBounded → (Filter.comap f F).TotallyBounded- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpaceUniformSpace
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement and proof · cited by 8,121
- UniformSpacestatement and proof · cited by 2,040
- Filter.comapstatement · cited by 546
- IsUniformInducingstatement and proof · cited by 128
- Filter.TotallyBoundedstatement and proof · cited by 24
- Filter.map_comap_leproof · cited by 10
- Filter.TotallyBounded.monoproof · cited by 6
- Filter.totallyBounded_map_iffproof · cited by 2
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