Theorems · Theorem · group theory
AddMonoidHom.ext
∀ {M : Type u_4} {N : Type u_5} [inst : AddZero M] [inst_1 : AddZero N] ⦃f g : M →+ N⦄, (∀ (x : M), f x = g x) → f = g- Defined in
- Mathlib.Algebra.Group.Hom.Defs
- Cited by
- 149 results in Mathlib
- Foundations
- Depth 11 from the axioms, rests on 32 definitions · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddMonoidHomstatement and proof · cited by 3,230
- DFunLike.extproof · cited by 240
- AddZerostatement and proof · cited by 87
Cited by149
Results whose statement or proof uses this declaration.
- Finsupp.degree_eq_weight_oneproof · cited by 26
- Module.mem_annihilatorproof · cited by 14
- AddMonoidHom.ext_intproof · cited by 7
- SkewMonoidAlgebra.addHom_extproof · cited by 7
- QuotientAddGroup.addMonoidHom_extproof · cited by 6
- FreeAddMonoid.hom_eqproof · cited by 6
- AddMonoidHom.id_compproof · cited by 6
- MonoidAlgebra.addMonoidHom_extproof · cited by 4
- AddSubgroup.le_normalizer_mapproof · cited by 4
- AddCommGrpCat.isZero_of_subsingletonproof · cited by 4
- AddSubmonoid.LocalizationMap.lift_compproof · cited by 4
- AddMonoidAlgebra.addMonoidHom_extproof · cited by 4