Metamath Proof Explorer


Theorem zlmplusgOLD

Description: Obsolete version of zlmbas as of 3-Nov-2024. Group operation of a ZZ -module. (Contributed by Mario Carneiro, 2-Oct-2015) (New usage is discouraged.) (Proof modification is discouraged.)

Ref Expression
Hypotheses zlmbas.w W=ℤModG
zlmplusg.2 +˙=+G
Assertion zlmplusgOLD +˙=+W

Proof

Step Hyp Ref Expression
1 zlmbas.w W=ℤModG
2 zlmplusg.2 +˙=+G
3 df-plusg +𝑔=Slot2
4 2nn 2
5 2lt5 2<5
6 1 3 4 5 zlmlemOLD +G=+W
7 2 6 eqtri +˙=+W