Theorems · Definition · group theory
CategoryTheory.Subgroupoid.hom
{C : Type u} →
[inst : CategoryTheory.Groupoid C] → (S : CategoryTheory.Subgroupoid C) → CategoryTheory.Functor (↑S.objs) CThe embedding of the coerced subgroupoid to its parent
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Groupoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- Set.Elemstatement and proof · cited by 7,166
- CategoryTheory.Groupoidstatement and proof · cited by 182
- CategoryTheory.Subgroupoidstatement and proof · cited by 75
- CategoryTheory.Subgroupoid.objsstatement and proof · cited by 29
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Subgroupoid.hom.faithfulstatement and proof · cited by 0
- CategoryTheory.Subgroupoid.hom.inj_on_objectsstatement and proof · cited by 0
- CategoryTheory.Subgroupoid.inclusion_comp_embeddingstatement · cited by 0