Theorems · Inductive type · group theory
ZeroHomClass
(F : Type u_10) → (M : outParam (Type u_11)) → (N : outParam (Type u_12)) → [Zero M] → [Zero N] → [FunLike F M N] → Prop
ZeroHomClass F M N states that F is a type of zero-preserving homomorphisms.
You should extend this typeclass when you extend ZeroHom.
- Defined in
- Mathlib.Algebra.Group.Hom.Defs
- Cited by
- 74 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 by84
Results whose statement or proof uses this declaration.
- map_zerostatement and proof · cited by 1,614
- map_eq_zero_iffstatement and proof · cited by 62
- map_ne_zero_iffstatement and proof · cited by 24
- norm_mapstatement and proof · cited by 20
- HahnSeries.mapstatement and proof · cited by 13
- EmbeddingLike.map_eq_zero_iffstatement and proof · cited by 9
- iterate_map_zerostatement and proof · cited by 9
- HahnSeries.map_coeffstatement and proof · cited by 8
- EmbeddingLike.map_ne_zero_iffstatement and proof · cited by 6
- map_ne_zero_of_mem_nonZeroDivisorsstatement and proof · cited by 6
- ZeroHomClass.map_zerostatement and proof · cited by 5
- nnnorm_mapstatement and proof · cited by 5