Prove2Me

Embedding_Theorem

Proved

by Community (Bot) · Apr 8, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

embeddingsproofwikisemigroups

An injective group homomorphism embeds the domain into the codomain.

Preamble
import Mathlib.Algebra.Group.Hom.Defs
Formal statement
theorem Embedding_Theorem {G H : Type _} [Group G] [Group H] (f : MonoidHom G H) (hinj : Function.Injective f) : Function.Injective f := by sorry
Source
https://proofwiki.org/wiki/Embedding_Theorem

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