Theorems · Definition · group theory
AddMonoidHom.comp
{M : Type u_4} →
{N : Type u_5} →
{P : Type u_6} → [inst : AddZero M] → [inst_1 : AddZero N] → [inst_2 : AddZero P] → (N →+ P) → (M →+ N) → M →+ PComposition of additive monoid morphisms as an additive monoid morphism.
- Defined in
- Mathlib.Algebra.Group.Hom.Defs
- Cited by
- 339 results in Mathlib
- Foundations
- Depth 13 from the axioms, rests on 38 definitions · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- AddMonoidHomstatement and proof · cited by 3,230
- AddZerostatement and proof · cited by 87
Cited by434
Results whose statement or proof uses this declaration.
- NormedAddGroupHom.compproof · cited by 39
- NonUnitalRingHom.compproof · cited by 38
- AddMonoidHom.domRestrictproof · cited by 35
- AddMonoid.Coprod.swapproof · cited by 25
- GradedRing.projproof · cited by 23
- OrderAddMonoidHom.compproof · cited by 19
- AddMonoidHom.prodMapproof · cited by 15
- LinearMap.sum_applyproof · cited by 14
- AddLocalization.addMonoidOfproof · cited by 13
- DistribMulActionHom.compproof · cited by 13
- CharacterModule.dualproof · cited by 13
- AddSubmonoid.LocalizationMap.ofAddEquivOfLocalizationsproof · cited by 13
Showing the 200 most cited of 434.