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 |