Theorems · Theorem · general topology
IsDenseEmbedding.toIsDenseInducing
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {e : α → β},
IsDenseEmbedding e → IsDenseInducing e- Defined in
- Mathlib.Topology.DenseEmbedding
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- IsDenseInducingstatement · cited by 56
- IsDenseEmbeddingstatement and proof · cited by 24
Cited by8
Results whose statement or proof uses this declaration.
- IsDenseEmbedding.isDenseInducingproof · cited by 6
- IsDenseEmbedding.subtypeproof · cited by 3
- map_real_smulproof · cited by 2
- Complex.subfield_eq_of_closedproof · cited by 2
- eventually_residual_liouvilleproof · cited by 2
- Complex.uniformContinuous_ringHom_eq_id_or_conjproof · cited by 1
- IsDenseEmbedding.isEmbeddingproof · cited by 1
- uniform_extend_subtypeproof · cited by 0