Description: Obsolete proof of resvbas as of 31-Oct-2024. Base is unaffected by scalar restriction. (Contributed by Thierry Arnoux, 6-Sep-2018) (New usage is discouraged.) (Proof modification is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Hypotheses | resvbas.1 | |- H = ( G |`v A ) |
|
| resvbas.2 | |- B = ( Base ` G ) |
||
| Assertion | resvbasOLD | |- ( A e. V -> B = ( Base ` H ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | resvbas.1 | |- H = ( G |`v A ) |
|
| 2 | resvbas.2 | |- B = ( Base ` G ) |
|
| 3 | df-base | |- Base = Slot 1 |
|
| 4 | 1nn | |- 1 e. NN |
|
| 5 | 1re | |- 1 e. RR |
|
| 6 | 1lt5 | |- 1 < 5 |
|
| 7 | 5 6 | ltneii | |- 1 =/= 5 |
| 8 | 1 2 3 4 7 | resvlemOLD | |- ( A e. V -> B = ( Base ` H ) ) |