Description: Obsolete proof of resvvsca as of 31-Oct-2024. .s 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 ) |
|
| resvvsca.2 | |- .x. = ( .s ` G ) |
||
| Assertion | resvvscaOLD | |- ( A e. V -> .x. = ( .s ` H ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | resvbas.1 | |- H = ( G |`v A ) |
|
| 2 | resvvsca.2 | |- .x. = ( .s ` G ) |
|
| 3 | df-vsca | |- .s = Slot 6 |
|
| 4 | 6nn | |- 6 e. NN |
|
| 5 | 5re | |- 5 e. RR |
|
| 6 | 5lt6 | |- 5 < 6 |
|
| 7 | 5 6 | gtneii | |- 6 =/= 5 |
| 8 | 1 2 3 4 7 | resvlemOLD | |- ( A e. V -> .x. = ( .s ` H ) ) |