Description: Obsolete proof of resvplusg as of 31-Oct-2024. +g 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 ) |
|
| resvplusg.2 | |- .+ = ( +g ` G ) |
||
| Assertion | resvplusgOLD | |- ( A e. V -> .+ = ( +g ` H ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | resvbas.1 | |- H = ( G |`v A ) |
|
| 2 | resvplusg.2 | |- .+ = ( +g ` G ) |
|
| 3 | df-plusg | |- +g = Slot 2 |
|
| 4 | 2nn | |- 2 e. NN |
|
| 5 | 2re | |- 2 e. RR |
|
| 6 | 2lt5 | |- 2 < 5 |
|
| 7 | 5 6 | ltneii | |- 2 =/= 5 |
| 8 | 1 2 3 4 7 | resvlemOLD | |- ( A e. V -> .+ = ( +g ` H ) ) |