Description: 0 ^ 0 = 1 . This is our convention. It follows the convention used by Gleason; see Part of Definition 10-4.1 of Gleason p. 134. (Contributed by David A. Wheeler, 8-Dec-2018)
Ref | Expression | ||
---|---|---|---|
Assertion | 0exp0e1 | |- ( 0 ^ 0 ) = 1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 0cn | |- 0 e. CC |
|
2 | exp0 | |- ( 0 e. CC -> ( 0 ^ 0 ) = 1 ) |
|
3 | 1 2 | ax-mp | |- ( 0 ^ 0 ) = 1 |