Theorems · Theorem · group theory

PresentedMonoid.ext

∀ {α : Type u_2} {M : Type u_3} [inst : Monoid M] (rels : FreeMonoid α → FreeMonoid α → Prop)
  {φ ψ : PresentedMonoid rels →* M}, (∀ (x : α), φ (PresentedMonoid.of rels x) = ψ (PresentedMonoid.of rels x)) → φ = ψ

Defined in

Mathlib.Algebra.PresentedMonoid.Basic

Cited by

1 results in Mathlib

Foundations

Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Monoid