Description: Equality theorem for image. (Contributed by NM, 21-Dec-2008)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | imaeq1i.1 | |- A = B |
|
| Assertion | imaeq1i | |- ( A " C ) = ( B " C ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | imaeq1i.1 | |- A = B |
|
| 2 | imaeq1 | |- ( A = B -> ( A " C ) = ( B " C ) ) |
|
| 3 | 1 2 | ax-mp | |- ( A " C ) = ( B " C ) |