Theorems · Definition · category theory
GeneratedByTopCat.of
{ι : Type t} →
{X : ι → Type u} →
[inst : (i : ι) → TopologicalSpace (X i)] →
(Y : Type v) → [inst_1 : TopologicalSpace Y] → [Topology.IsGeneratedBy X Y] → GeneratedByTopCat XConstructor for objects in the category of X-generated spaces.
- Defined in
- Mathlib.Topology.Convenient.Category
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 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
- Topology.IsGeneratedBystatement and proof · cited by 38
- GeneratedByTopCatstatement · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- DeltaGenerated.ofproof · cited by 0