Theorems · Theorem · group theory
MonoidHom.ext
∀ {M : Type u_4} {N : Type u_5} [inst : MulOne M] [inst_1 : MulOne N] ⦃f g : M →* N⦄, (∀ (x : M), f x = g x) → f = g- Defined in
- Mathlib.Algebra.Group.Hom.Defs
- Cited by
- 109 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
- MonoidHomstatement and proof · cited by 3,629
- DFunLike.extproof · cited by 240
- MulOnestatement and proof · cited by 65
Cited by109
Results whose statement or proof uses this declaration.
- IsLocalization.ringHom_extproof · cited by 32
- FreeMonoid.hom_eqproof · cited by 7
- FreeGroup.ext_homproof · cited by 6
- Algebra.norm_selfproof · cited by 6
- QuotientGroup.monoidHom_extproof · cited by 5
- Submonoid.LocalizationMap.lift_compproof · cited by 5
- Subgroup.le_normalizer_mapproof · cited by 4
- Abelianization.hom_extproof · cited by 4
- Units.map_idproof · cited by 4
- MonoidHom.ext_mnatproof · cited by 4
- MonoidHom.cancel_rightproof · cited by 3
- Monoid.PushoutI.of_comp_eq_baseproof · cited by 3