Description: Closure law for reciprocal. (Contributed by NM, 30-Apr-2005)
Ref | Expression | ||
---|---|---|---|
Assertion | reccl | |- ( ( A e. CC /\ A =/= 0 ) -> ( 1 / A ) e. CC ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-1cn | |- 1 e. CC |
|
2 | divcl | |- ( ( 1 e. CC /\ A e. CC /\ A =/= 0 ) -> ( 1 / A ) e. CC ) |
|
3 | 1 2 | mp3an1 | |- ( ( A e. CC /\ A =/= 0 ) -> ( 1 / A ) e. CC ) |