Theorems · Theorem · general topology
ContinuousMap.isUniformEmbedding_uniformFunOfFun
∀ {α : Type u₁} {β : Type u₂} [inst : TopologicalSpace α] [inst_1 : UniformSpace β] [CompactSpace α],
IsUniformEmbedding fun x => UniformFun.ofFun ⇑x- Cited by
- 2 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Equivstatement · cited by 8,337
- Set.ofPredproof · cited by 6,101
- ContinuousMapstatement · cited by 2,491
- UniformSpacestatement and proof · cited by 2,040
- IsCompactproof · cited by 1,282
- CompactSpacestatement and proof · cited by 593
- DFunLike.coe_injectiveproof · cited by 161
- IsUniformEmbeddingstatement · cited by 107
- UniformFunstatement · cited by 106
Cited by2
Results whose statement or proof uses this declaration.
- ContinuousMap.tendsto_iff_tendstoUniformlyproof · cited by 2
- ContinuousMap.continuous_iff_continuous_uniformFunproof · cited by 1