Theorems · Definition · group theory
AddCon.ker
{M : Type u_1} →
{N : Type u_2} →
{F : Type u_4} → [inst : Add M] → [inst_1 : Add N] → [inst_2 : FunLike F M N] → [AddHomClass F M N] → F → AddCon MThe kernel of an additive homomorphism as an additive congruence relation.
- Defined in
- Mathlib.GroupTheory.Congruence.Hom
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- AddAddFunLikeAddHomClass
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.
- DFunLike.coeproof · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- AddConstatement · cited by 138
- AddHomClassstatement and proof · cited by 65
- Setoid.kerproof · cited by 43
Cited by33
Results whose statement or proof uses this declaration.
- AddCon.liftstatement and proof · cited by 14
- AddCon.hom_extproof · cited by 5
- AddCon.kerLiftstatement and proof · cited by 4
- AddCon.quotientKerEquivOfRightInversestatement and proof · cited by 2
- AddCon.kerLift_injectivestatement and proof · cited by 1
- AddCon.ker_relstatement · cited by 1
- AddCon.lift_coestatement and proof · cited by 1
- AddCon.lift_mk'statement and proof · cited by 1
- AddCon.lift_rangestatement and proof · cited by 1
- AddCon.lift_surjective_of_surjectivestatement and proof · cited by 1
- AddCon.lift_uniquestatement and proof · cited by 1
- AddCon.mapOfSurjectivestatement and proof · cited by 1