Theorems · Theorem · general topology
Topology.IsInducing.firstCountableTopology
∀ {α : Type u} [t : TopologicalSpace α] {β : Type u_1} [inst : TopologicalSpace β] [FirstCountableTopology β]
{f : α → β}, Topology.IsInducing f → FirstCountableTopology α- Defined in
- Mathlib.Topology.Bases
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Topology.IsInducingstatement and proof · cited by 266
- FirstCountableTopologystatement and proof · cited by 106
- Topology.IsInducing.eq_inducedproof · cited by 31
- TopologicalSpace.firstCountableTopology_inducedproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Topology.IsEmbedding.firstCountableTopologyproof · cited by 0