Theorems · Theorem · general topology
SeparationQuotient.completeSpace_iff
∀ {α : Type u} [inst : UniformSpace α], CompleteSpace (SeparationQuotient α) ↔ CompleteSpace α- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpace
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CompleteSpacestatement · cited by 2,532
- UniformSpacestatement and proof · cited by 2,040
- SeparationQuotientstatement · cited by 128
- SeparationQuotient.surjective_mkproof · cited by 12
- SeparationQuotient.isUniformInducing_mkproof · cited by 8
- IsUniformInducing.completeSpace_congrproof · cited by 6
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