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FreeAddMonoid.hom_eq

∀ {α : Type u_1} {M : Type u_4} [inst : AddMonoid M] ⦃f g : FreeAddMonoid α →+ M⦄,
  (∀ (x : α), f (FreeAddMonoid.of x) = g (FreeAddMonoid.of x)) → f = g
Defined in
Mathlib.Algebra.FreeMonoid.Basic
Cited by
6 results in Mathlib
Foundations
Depth 40 from the axioms · uses propext, Quot.sound
Assumes
AddMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

FreeAddMonoid.map_id · cited by 2FreeAddMonoid.map_idFreeAddMonoid.comp_lift · cited by 1FreeAddMonoid.comp_liftFreeAddMonoid.map_comp · cited by 0FreeAddMonoid.map_compFreeAddMonoid.lift_of_comp_eq_map · cited by 0FreeAddMonoid.lift_of_com…PresentedAddMonoid.toMonoid.unique · cited by 0toMonoid.uniqueFreeAddMonoid.hom_eq_iff · cited by 0FreeAddMonoid.hom_eq_iffDFunLike.coe · cited by 62936DFunLike.coeAddMonoidHom · cited by 3230AddMonoidHomAddMonoid · cited by 2864AddMonoidmap_add · cited by 964map_addAddMonoidHom.ext · cited by 149AddMonoidHom.extFreeAddMonoid · cited by 145FreeAddMonoidFreeAddMonoid.of · cited by 69FreeAddMonoid.ofAddMonoidHom.map_zero · cited by 47AddMonoidHom.map_zeroFreeAddMonoid.recOn · cited by 8FreeAddMonoid.recOnFreeAddMonoid.hom_eqCITED BYCITES

Cites9

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Cited by6

Results whose statement or proof uses this declaration.