Description: An "identity" law for restricted class abstraction. (Contributed by NM, 9-Oct-2003) (Proof shortened by Andrew Salmon, 30-May-2011) (Proof shortened by Wolf Lammen, 24-Nov-2024)
Ref | Expression | ||
---|---|---|---|
Assertion | rabid2 | |- ( A = { x e. A | ph } <-> A. x e. A ph ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv | |- F/_ x A |
|
2 | 1 | rabid2f | |- ( A = { x e. A | ph } <-> A. x e. A ph ) |