Description: Obsolete version of zlmbas as of 3-Nov-2024. Base set 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 = ( ZMod ` G ) |
|
| zlmbas.2 | |- B = ( Base ` G ) |
||
| Assertion | zlmbasOLD | |- B = ( Base ` W ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | zlmbas.w | |- W = ( ZMod ` G ) |
|
| 2 | zlmbas.2 | |- B = ( Base ` G ) |
|
| 3 | df-base | |- Base = Slot 1 |
|
| 4 | 1nn | |- 1 e. NN |
|
| 5 | 1lt5 | |- 1 < 5 |
|
| 6 | 1 3 4 5 | zlmlemOLD | |- ( Base ` G ) = ( Base ` W ) |
| 7 | 2 6 | eqtri | |- B = ( Base ` W ) |