Description: Equality theorem for the decimal constructor. (Contributed by Mario Carneiro, 17-Apr-2015)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | deceq1i.1 | |- A = B |
|
| Assertion | deceq1i | |- ; A C = ; B C |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | deceq1i.1 | |- A = B |
|
| 2 | deceq1 | |- ( A = B -> ; A C = ; B C ) |
|
| 3 | 1 2 | ax-mp | |- ; A C = ; B C |