Description: Similar to Lemma 24 of Monk2 p. 114, except the quantification of the antecedent is restricted. Derived automatically from hbra2VD . Usage of this theorem is discouraged because it depends on ax-13 . Use the weaker nfra2w when possible. (Contributed by Alan Sare, 31-Dec-2011) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | nfra2 | |- F/ y A. x e. A A. y e. B ph |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | nfcv | |- F/_ y A |
|
| 2 | nfra1 | |- F/ y A. y e. B ph |
|
| 3 | 1 2 | nfral | |- F/ y A. x e. A A. y e. B ph |