Description: Justification theorem for dfv2 if it were the definition. See also vjust . (Contributed by BJ, 30-Nov-2019) (Proof modification is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | bj-vjust | |- { x | T. } = { y | T. } | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | vextru |  |-  z e. { x | T. } | |
| 2 | vextru |  |-  z e. { y | T. } | |
| 3 | 1 2 | 2th |  |-  ( z e. { x | T. } <-> z e. { y | T. } ) | 
| 4 | 3 | eqriv |  |-  { x | T. } = { y | T. } |