Description: Inference from Theorem 19.21 of Margaris p. 90. (Restricted quantifier version.) (Contributed by NM, 22-Nov-1994) Reduce dependencies on axioms. (Revised by Wolf Lammen, 4-Dec-2019)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | ralrimiv.1 | |- ( ph -> ( x e. A -> ps ) ) |
|
| Assertion | ralrimiv | |- ( ph -> A. x e. A ps ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ralrimiv.1 | |- ( ph -> ( x e. A -> ps ) ) |
|
| 2 | ax-5 | |- ( ph -> A. x ph ) |
|
| 3 | 2 1 | hbralrimi | |- ( ph -> A. x e. A ps ) |