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Related theorems GIF version |
| Description: Define the universal class. Definition 5.20 of [TakeutiZaring] p. 21. |
| Ref | Expression |
|---|---|
| df-v | ⊢ V = {x∣x = x} |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cvv 1807 | . 2 class V | |
| 2 | vx | . . . . 5 set x | |
| 3 | 2 | cv 953 | . . . 4 class x |
| 4 | 3, 3 | wceq 954 | . . 3 wff x = x |
| 5 | 4, 2 | cab 1461 | . 2 class {x∣x = x} |
| 6 | 1, 5 | wceq 954 | 1 wff V = {x∣x = x} |
| Colors of variables: wff set class |
| This definition is referenced by: visset 1809 int0 2543 dmi 3326 fo1st 4092 fo2nd 4093 |