Mathlib Map

Theorems · Theorem · general topology

isUniformEmbedding_subtype_val

∀ {α : Type u} [inst : UniformSpace α] {p : α → Prop}, IsUniformEmbedding Subtype.val
Defined in
Mathlib.Topology.UniformSpace.UniformEmbedding
Cited by
9 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

LinearMap.extendOfNorm_eq · cited by 7LinearMap.extendOfNorm_eqcompleteSpace_coe_iff_isComplete · cited by 6completeSpace_coe_iff_isC…NNReal.isUniformEmbedding_coe · cited by 1NNReal.isUniformEmbedding…UniformContinuousOn.comp_tendstoUniformly · cited by 1UniformContinuousOn.comp_…LinearPMap.adjointDomainMkCLMExtend_apply · cited by 1LinearPMap.adjointDomainM…BoundedContinuousFunction.arzela_ascoli₂ · cited by 1BoundedContinuousFunction…Subtype.isComplete_iff · cited by 0Subtype.isComplete_iffPNat.isUniformEmbedding_coe · cited by 0PNat.isUniformEmbedding_c…LinearMap.extendOfNorm_unique · cited by 0LinearMap.extendOfNorm_un…UniformSpace · cited by 2040UniformSpaceSubtype.val_injective · cited by 232Subtype.val_injectiveIsUniformEmbedding · cited by 107IsUniformEmbeddingisUniformEmbedding_subtype_valCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by9

Results whose statement or proof uses this declaration.