Theorems · Theorem · general topology
isUniformEmbedding_iff_isUniformInducing
∀ {α : Type u} {β : Type v} [inst : UniformSpace α] [inst_1 : UniformSpace β] [T0Space α] {f : α → β},
IsUniformEmbedding f ↔ IsUniformInducing f- Cited by
- 2 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- UniformSpacestatement and proof · cited by 2,040
- T0Spacestatement and proof · cited by 179
- IsUniformInducingstatement · cited by 128
- IsUniformEmbeddingstatement · cited by 107
- IsUniformEmbedding.isUniformInducingproof · cited by 33
- IsUniformInducing.isUniformEmbeddingproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Metric.isUniformEmbedding_iff'proof · cited by 0
- EMetric.isUniformEmbedding_iff'proof · cited by 0