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. } |