Theorems · Theorem · general topology
IsUniformEmbedding.of_comp
∀ {α : Type u} {β : Type v} {γ : Type w} [inst : UniformSpace α] [inst_1 : UniformSpace β] [inst_2 : UniformSpace γ]
{f : α → β} {g : β → γ}, UniformContinuous f → UniformContinuous g → IsUniformEmbedding (g ∘ f) → IsUniformEmbedding f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
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
- UniformContinuousstatement and proof · cited by 410
- IsUniformEmbeddingstatement and proof · cited by 107
- Function.Injective.of_compproof · cited by 82
- IsUniformEmbedding.isUniformInducingproof · cited by 33
- IsUniformEmbedding.injectiveproof · cited by 13
- IsUniformInducing.of_compproof · cited by 5
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