Description: Multiplication of a number and its reciprocal. (Contributed by NM, 14-May-1999)
Ref | Expression | ||
---|---|---|---|
Hypothesis | divclz.1 | |- A e. CC |
|
Assertion | recidzi | |- ( A =/= 0 -> ( A x. ( 1 / A ) ) = 1 ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | divclz.1 | |- A e. CC |
|
2 | recid | |- ( ( A e. CC /\ A =/= 0 ) -> ( A x. ( 1 / A ) ) = 1 ) |
|
3 | 1 2 | mpan | |- ( A =/= 0 -> ( A x. ( 1 / A ) ) = 1 ) |