Description: Obsolete version of basendxnplusgndx as of 17-Oct-2024. The slot for the base set is not the slot for the group operation in an extensible structure. (Contributed by AV, 14-Nov-2021) (Proof modification is discouraged.) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | basendxnplusgndxOLD | |- ( Base ` ndx ) =/= ( +g ` ndx ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | df-base | |- Base = Slot 1 |
|
| 2 | 1nn | |- 1 e. NN |
|
| 3 | 1 2 | ndxarg | |- ( Base ` ndx ) = 1 |
| 4 | 1ne2 | |- 1 =/= 2 |
|
| 5 | plusgndx | |- ( +g ` ndx ) = 2 |
|
| 6 | 4 5 | neeqtrri | |- 1 =/= ( +g ` ndx ) |
| 7 | 3 6 | eqnetri | |- ( Base ` ndx ) =/= ( +g ` ndx ) |