Description: Multiplication by 0 . Theorem I.6 of Apostol p. 18. (Contributed by NM, 23-Nov-1994) (Revised by Scott Fenton, 3-Jan-2013)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | mul.1 | |- A e. CC |
|
| Assertion | mul01i | |- ( A x. 0 ) = 0 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | mul.1 | |- A e. CC |
|
| 2 | mul01 | |- ( A e. CC -> ( A x. 0 ) = 0 ) |
|
| 3 | 1 2 | ax-mp | |- ( A x. 0 ) = 0 |