Description: 3 + 6 = 9. (Contributed by SN, 24-Aug-2026)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | 3p6e9 | |- ( 3 + 6 ) = 9 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | 3cn | |- 3 e. CC |
|
| 2 | 1 1 1 | addassi | |- ( ( 3 + 3 ) + 3 ) = ( 3 + ( 3 + 3 ) ) |
| 3 | 3p3e6 | |- ( 3 + 3 ) = 6 |
|
| 4 | 3 | oveq1i | |- ( ( 3 + 3 ) + 3 ) = ( 6 + 3 ) |
| 5 | 6p3e9 | |- ( 6 + 3 ) = 9 |
|
| 6 | 4 5 | eqtri | |- ( ( 3 + 3 ) + 3 ) = 9 |
| 7 | 3 | oveq2i | |- ( 3 + ( 3 + 3 ) ) = ( 3 + 6 ) |
| 8 | 2 6 7 | 3eqtr3ri | |- ( 3 + 6 ) = 9 |