Theorems · Theorem · general topology
ContinuousMap.isUniformEmbedding_toUniformOnFunIsCompact
∀ {α : Type u₁} {β : Type u₂} [inst : TopologicalSpace α] [inst_1 : UniformSpace β],
IsUniformEmbedding ContinuousMap.toUniformOnFunIsCompact- Cited by
- 8 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceUniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.ofPredstatement · cited by 6,101
- ContinuousMapstatement · cited by 2,491
- UniformSpacestatement and proof · cited by 2,040
- IsCompactstatement · cited by 1,282
- DFunLike.coe_injectiveproof · cited by 161
- UniformOnFunstatement · cited by 150
- IsUniformEmbeddingstatement · cited by 107
- ContinuousMap.toUniformOnFunIsCompactstatement · cited by 8
Cited by8
Results whose statement or proof uses this declaration.
- Filter.HasBasis.compactConvergenceUniformityproof · cited by 2
- ContinuousMap.isUniformEmbedding_compproof · cited by 2
- ContinuousMap.isUniformEmbedding_uniformFunOfFunproof · cited by 2
- ArzelaAscoli.isCompact_of_equicontinuousproof · cited by 2
- ContinuousMap.uniformContinuous_comp_leftproof · cited by 1
- ContinuousMap.isUniformInducing_compproof · cited by 0
- ContinuousMap.uniformContinuous_compproof · cited by 0
- ContinuousMap.continuous_iff_continuous_uniformOnFunproof · cited by 0