Description: Obsolete version of prodeq1i as of 1-Sep-2025. (Contributed by Scott Fenton, 4-Dec-2017) (Proof modification is discouraged.) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | prodeq1iOLD.1 | |- A = B |
|
| Assertion | prodeq1iOLD | |- prod_ k e. A C = prod_ k e. B C |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | prodeq1iOLD.1 | |- A = B |
|
| 2 | prodeq1 | |- ( A = B -> prod_ k e. A C = prod_ k e. B C ) |
|
| 3 | 1 2 | ax-mp | |- prod_ k e. A C = prod_ k e. B C |