Theorems · Theorem · general topology
IsUniformEmbedding.comp
∀ {α : Type u} {β : Type v} {γ : Type w} [inst : UniformSpace α] [inst_1 : UniformSpace β] [inst_2 : UniformSpace γ]
{g : β → γ}, IsUniformEmbedding g → ∀ {f : α → β}, IsUniformEmbedding f → IsUniformEmbedding (g ∘ f)- Cited by
- 7 results in Mathlib
- Foundations
- Depth 68 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
- IsUniformInducingproof · cited by 128
- IsUniformEmbeddingstatement and proof · cited by 107
- IsUniformEmbedding.isUniformInducingproof · cited by 33
- IsUniformEmbedding.injectiveproof · cited by 13
- IsUniformInducing.compproof · cited by 11
Cited by7
Results whose statement or proof uses this declaration.
- ContinuousAlternatingMap.isUniformEmbedding_restrictScalarsproof · cited by 2
- ContinuousMap.isUniformEmbedding_compproof · cited by 2
- ContinuousMap.isUniformEmbedding_uniformFunOfFunproof · cited by 2
- SpectrumRestricts.isClosedEmbedding_starAlgHomproof · cited by 1
- ContinuousMapZero.isUniformEmbedding_compproof · cited by 1
- QuasispectrumRestricts.isClosedEmbedding_nonUnitalStarAlgHomproof · cited by 1
- PointwiseConvergenceCLM.isUniformEmbedding_coeFnproof · cited by 1