Description: An ordinal number is equal to the union of its successor. (Contributed by NM, 12-Jun-1994)
Ref | Expression | ||
---|---|---|---|
Hypothesis | on.1 | |- A e. On |
|
Assertion | onunisuci | |- U. suc A = A |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | on.1 | |- A e. On |
|
2 | onunisuc | |- ( A e. On -> U. suc A = A ) |
|
3 | 1 2 | ax-mp | |- U. suc A = A |