Theorems · Definition · category theory
AddCommGrpCat.kernelIsLimit
{G H : AddCommGrpCat} → (f : G ⟶ H) → CategoryTheory.Limits.IsLimit (AddCommGrpCat.kernelCone f)The kernel of a group homomorphism is a kernel in the categorical sense.
- Defined in
- Mathlib.Algebra.Category.Grp.Kernels
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Limits.WalkingParallelPairstatement · cited by 781
- CategoryTheory.Limits.parallelPairstatement · cited by 766
- CategoryTheory.Limits.IsLimitstatement · cited by 664
- AddCommGrpCatstatement and proof · cited by 462
- CategoryTheory.Limits.Fork.ιproof · cited by 162
- AddMonoidHom.kerproof · cited by 158
- CategoryTheory.Limits.Forkproof · cited by 85
- AddCommGrpCat.Hom.homproof · cited by 72
- AddCommGrpCat.ofHomproof · cited by 72
- AddMonoidHom.codRestrictproof · cited by 5
- CategoryTheory.Limits.Fork.IsLimit.mkproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.ShortComplex.abLeftHomologyDataproof · cited by 7