Theorems · Definition · group theory
CategoryTheory.Subgroupoid.generatedNormal
{C : Type u} → [inst : CategoryTheory.Groupoid C] → ((c d : C) → Set (c ⟶ d)) → CategoryTheory.Subgroupoid CThe normal subgroupoid generated by the set of arrows X
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext, Quot.sound
- Assumes
- CategoryTheory.Groupoid
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.
- Setstatement and proof · cited by 53,352
- Quiver.Homstatement and proof · cited by 32,603
- Set.ofPredproof · cited by 6,101
- InfSet.sInfproof · cited by 935
- CategoryTheory.Groupoidstatement and proof · cited by 182
- CategoryTheory.Subgroupoidstatement and proof · cited by 75
- CategoryTheory.Subgroupoid.arrowsproof · cited by 53
- CategoryTheory.Subgroupoid.IsNormalproof · cited by 15
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Subgroupoid.generated_le_generatedNormalstatement · cited by 1
- CategoryTheory.Subgroupoid.generatedNormal_isNormalstatement · cited by 0
- CategoryTheory.Subgroupoid.IsNormal.generatedNormal_lestatement and proof · cited by 0