Theorems · Theorem · group theory

TwoUniqueSums.of_addHom

∀ {G : Type u} {H : Type v} [inst : Add G] [inst_1 : Add 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) → ∀ [TwoUniqueSums G], TwoUniqueSums 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

AddAddTwoUniqueSums