Description: (The additive groups of) modules are abelian groups. (The elemental version is lmodabl ; see also lmodgrp and lmodcmn .) (Contributed by BJ, 9-Jun-2019)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | bj-modssabl | ⊢ LMod ⊆ Abel |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | lmodabl | ⊢ ( 𝑥 ∈ LMod → 𝑥 ∈ Abel ) | |
| 2 | 1 | ssriv | ⊢ LMod ⊆ Abel |