Theorems · Definition · group theory
CategoryTheory.Subgroupoid.full
{C : Type u} → [inst : CategoryTheory.Groupoid C] → Set C → CategoryTheory.Subgroupoid CThe full subgroupoid on a set D : Set C
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Groupoid
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.
- Setstatement and proof · cited by 53,352
- Quiver.Homproof · cited by 32,603
- Set.ofPredproof · cited by 6,101
- CategoryTheory.Groupoidstatement and proof · cited by 182
- CategoryTheory.Subgroupoidstatement · cited by 75
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.Subgroupoid.full_objsstatement and proof · cited by 1
- CategoryTheory.Subgroupoid.mem_full_iffstatement · cited by 0
- CategoryTheory.Subgroupoid.mem_full_objs_iffstatement · cited by 0
- CategoryTheory.Subgroupoid.full_arrow_eq_iffstatement and proof · cited by 0
- CategoryTheory.Subgroupoid.full_emptystatement · cited by 0
- CategoryTheory.Subgroupoid.full_monostatement and proof · cited by 0
- CategoryTheory.Subgroupoid.full_univstatement · cited by 0