Theorems · Inductive type · group theory
OneHomClass
(F : Type u_10) → (M : outParam (Type u_11)) → (N : outParam (Type u_12)) → [One M] → [One N] → [FunLike F M N] → Prop
OneHomClass F M N states that F is a type of one-preserving homomorphisms.
You should extend this typeclass when you extend OneHom.
- Defined in
- Mathlib.Algebra.Group.Hom.Defs
- Cited by
- 38 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 by44
Results whose statement or proof uses this declaration.
- map_onestatement and proof · cited by 861
- map_eq_one_iffstatement and proof · cited by 15
- EmbeddingLike.map_eq_one_iffstatement and proof · cited by 4
- EmbeddingLike.map_ne_one_iffstatement and proof · cited by 3
- IsNonarchimedean.apply_intCast_le_onestatement and proof · cited by 3
- IsNonarchimedean.apply_natCast_le_onestatement and proof · cited by 3
- DirectLimit.one_defstatement and proof · cited by 3
- OneHomClass.map_onestatement and proof · cited by 3
- iterate_map_onestatement and proof · cited by 3
- OneHomClass.toOneHomstatement and proof · cited by 2
- Finset.imageOneHomstatement and proof · cited by 1
- norm_map'statement and proof · cited by 1