Theorems · Definition · group theory
AddHomClass.toAddHom
{M : Type u_4} →
{N : Type u_5} →
{F : Type u_9} → [inst : Add M] → [inst_1 : Add N] → [inst_2 : FunLike F M N] → [AddHomClass F M N] → F → M →ₙ+ NTurn an element of a type F satisfying AddHomClass F M N into an actual
AddHom. This is declared as the default coercion from F to M →ₙ+ N.
- Defined in
- Mathlib.Algebra.Group.Hom.Defs
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 5 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
- AddHomstatement · cited by 294
- AddHomClassstatement and proof · cited by 65
- AddHomClass.map_addproof · cited by 1
Cited by36
Results whose statement or proof uses this declaration.
- AddMonoidHomClass.toAddMonoidHomproof · cited by 232
- AddEquivClass.toAddEquivproof · cited by 54
- AddEquiv.subsemigroupMapstatement and proof · cited by 2
- retractionKerCotangentToTensorEquivSectionproof · cited by 2
- DirectSum.congrAddEquivproof · cited by 2
- CochainComplex.HomComplex.Cochain.shiftLinearMapproof · cited by 1
- AddHom.coe_coestatement · cited by 1
- AddMonoidHom.inverseproof · cited by 1
- AddSubsemigroup.map_equiv_eq_comap_symmstatement and proof · cited by 1
- AddEquiv.uniqueSums_iffproof · cited by 0
- AddEquiv.withBotCongr_toAddHomstatement · cited by 0
- IsModuleTopology.continuous_of_ringHomproof · cited by 0