Theorems · Inductive type · group theory
AddHomClass
(F : Type u_10) → (M : outParam (Type u_11)) → (N : outParam (Type u_12)) → [Add M] → [Add N] → [FunLike F M N] → Prop
AddHomClass F M N states that F is a type of addition-preserving homomorphisms.
You should declare an instance of this typeclass when you extend AddHom.
- Defined in
- Mathlib.Algebra.Group.Hom.Defs
- Cited by
- 65 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- FunLikestatement · cited by 2,560
Cited by79
Results whose statement or proof uses this declaration.
- map_addstatement and proof · cited by 964
- RingCon.comapstatement and proof · cited by 32
- AddHomClass.toAddHomstatement and proof · cited by 29
- AddCon.kerstatement and proof · cited by 24
- AddCommute.mapstatement and proof · cited by 9
- AddHomClass.isAddFreimanHomstatement and proof · cited by 6
- AddEquiv.ofBijectivestatement and proof · cited by 5
- Set.image_vadd_distribstatement and proof · cited by 5
- Set.image_addstatement and proof · cited by 5
- iterate_map_addstatement and proof · cited by 5
- map_sub'statement and proof · cited by 2
- Multiset.sum_hom_ne_zerostatement and proof · cited by 2