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Related theorems GIF version |
| Description: Define the class of all ordinals. Definition 7.11 of [TakeutiZaring] p. 38. |
| Ref | Expression |
|---|---|
| df-on | ⊢ On = {x∣Ord x} |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | con0 2199 | . 2 class On | |
| 2 | vx | . . . . 5 set x | |
| 3 | 2 | cv 1089 | . . . 4 class x |
| 4 | 3 | word 2198 | . . 3 wff Ord x |
| 5 | 4, 2 | cab 1090 | . 2 class {x∣Ord x} |
| 6 | 1, 5 | wceq 1091 | 1 wff On = {x∣Ord x} |
| Colors of variables: wff set class |
| This definition is referenced by: elong 2207 |