Theorems · Theorem · group theory

PresentedMonoid.ext_iff

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

Defined in

Mathlib.Algebra.PresentedMonoid.Basic

Cited by

0 results in Mathlib

Foundations

Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Monoid