Theorems · Theorem · group theory
FreeMonoid.hom_eq
∀ {α : Type u_1} {M : Type u_4} [inst : Monoid M] ⦃f g : FreeMonoid α →* M⦄,
(∀ (x : α), f (FreeMonoid.of x) = g (FreeMonoid.of x)) → f = g- Defined in
- Mathlib.Algebra.FreeMonoid.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- map_mulproof · cited by 1,137
- FreeMonoidstatement and proof · cited by 147
- MonoidHom.extproof · cited by 109
- FreeMonoid.ofstatement and proof · cited by 69
- MonoidHom.map_oneproof · cited by 27
- FreeMonoid.recOnproof · cited by 7
Cited by7
Results whose statement or proof uses this declaration.
- FreeMonoid.map_idproof · cited by 2
- Monoid.CoprodI.ext_homproof · cited by 2
- FreeMonoid.comp_liftproof · cited by 1
- FreeMonoid.map_compproof · cited by 0
- FreeMonoid.hom_eq_iffproof · cited by 0
- FreeMonoid.lift_of_comp_eq_mapproof · cited by 0
- PresentedMonoid.toMonoid.uniqueproof · cited by 0