Theorems · Theorem · group theory

PresentedMonoid.toMonoid.unique

∀ {α : Type u_3} {M : Type u_4} [inst : Monoid M] (f : α → M) {rels : FreeMonoid α → FreeMonoid α → Prop}
  (h : ∀ (a b : FreeMonoid α), rels a b → (FreeMonoid.lift f) a = (FreeMonoid.lift f) b)
  (g : (conGen rels).Quotient →* M), (∀ (a : α), g (PresentedMonoid.of rels a) = f a) → g = PresentedMonoid.lift f h

Defined in

Mathlib.Algebra.PresentedMonoid.Basic

Cited by

0 results in Mathlib

Foundations

Depth 46 from the axioms · uses propext, Quot.sound

Assumes

Monoid