Description: Multiplication by 0. Theorem I.6 of Apostol p. 18. (Contributed by NM, 23-Nov-1994)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | mul.1 | |- A e. CC |
|
| Assertion | mul02i | |- ( 0 x. A ) = 0 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | mul.1 | |- A e. CC |
|
| 2 | mul02 | |- ( A e. CC -> ( 0 x. A ) = 0 ) |
|
| 3 | 1 2 | ax-mp | |- ( 0 x. A ) = 0 |