Theorems · Theorem · group theory

TwoUniqueProds.of_mulHom

∀ {G : Type u} {H : Type v} [inst : Mul G] [inst_1 : Mul H] (f : H →ₙ* G),
  (∀ ⦃a b c d : H⦄, a * b = c * d → f a = f c ∧ f b = f d → a = c ∧ b = d) → ∀ [TwoUniqueProds G], TwoUniqueProds H

Defined in

Mathlib.Algebra.Group.UniqueProds.Basic

Cited by

1 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MulMulTwoUniqueProds