Description: Restricted quantifier version of spesbcd . (Contributed by Eric Schmidt, 29-Sep-2025)
| Ref | Expression | ||
|---|---|---|---|
| Hypotheses | rspesbcd.1 | ||
| rspesbcd.2 | |||
| Assertion | rspesbcd |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | rspesbcd.1 | ||
| 2 | rspesbcd.2 | ||
| 3 | sbcel1v | ||
| 4 | 1 3 | sylibr | |
| 5 | sbcan | ||
| 6 | 4 2 5 | sylanbrc | |
| 7 | 6 | spesbcd | |
| 8 | df-rex | ||
| 9 | 7 8 | sylibr |