Theorems · Definition · category theory
TopCat.toGeneratedByTopCat
{ι : Type t} →
{X : ι → Type u} → [inst : (i : ι) → TopologicalSpace (X i)] → CategoryTheory.Functor TopCat (GeneratedByTopCat X)The functor TopCat.{v} ⥤ GeneratedByTopCat X.
- Defined in
- Mathlib.Topology.Convenient.Category
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.compproof · cited by 6,529
- TopCatstatement · cited by 1,889
- TopCat.generatedBystatement · cited by 11
- GeneratedByTopCatstatement · cited by 10
- ContinuousGeneratedByCat.toGeneratedByTopCatproof · cited by 5
- TopCat.toContinuousGeneratedByCatproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- GeneratedByTopCat.adjstatement · cited by 2
- GeneratedByTopCat.adjCounitstatement · cited by 1
- GeneratedByTopCat.adjUnitIsostatement · cited by 1
- GeneratedByTopCat.adj_counitstatement · cited by 0
- GeneratedByTopCat.adj_unitstatement · cited by 0
- TopCat.toDeltaGeneratedproof · cited by 0