Theorems · Definition · group theory
AddMonoidHom.id
(M : Type u_10) → [inst : AddZero M] → M →+ M
The identity map from an additive monoid to itself.
- Defined in
- Mathlib.Algebra.Group.Hom.Defs
- Cited by
- 107 results in Mathlib
- Foundations
- Depth 5 from the axioms, rests on 21 definitions · uses no axioms
- Assumes
- AddZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidHomstatement · cited by 3,230
- AddZerostatement and proof · cited by 87
Cited by122
Results whose statement or proof uses this declaration.
- AddMonoidHom.id_applystatement and proof · cited by 29
- AddMonoid.Coprod.fstproof · cited by 15
- AddMonoid.Coprod.sndproof · cited by 15
- NormedAddGroupHom.idproof · cited by 12
- CentroidHom.idproof · cited by 7
- OrderAddMonoidHom.idproof · cited by 7
- AddEquiv.coprodAssocproof · cited by 6
- HasSum.negproof · cited by 6
- AddMonoidHom.id_compstatement · cited by 6
- ContinuousAddMonoidHom.idproof · cited by 5
- inv_natCast_smul_eqproof · cited by 4
- AddMonoidHom.evalproof · cited by 4