Description: Obsolete version of rmoanid as of 12-Jan-2025. (Contributed by Peter Mazsa, 24-May-2018) (Proof modification is discouraged.) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | rmoanidOLD | |- ( E* x e. A ( x e. A /\ ph ) <-> E* x e. A ph ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | anabs5 | |- ( ( x e. A /\ ( x e. A /\ ph ) ) <-> ( x e. A /\ ph ) ) |
|
| 2 | 1 | mobii | |- ( E* x ( x e. A /\ ( x e. A /\ ph ) ) <-> E* x ( x e. A /\ ph ) ) |
| 3 | df-rmo | |- ( E* x e. A ( x e. A /\ ph ) <-> E* x ( x e. A /\ ( x e. A /\ ph ) ) ) |
|
| 4 | df-rmo | |- ( E* x e. A ph <-> E* x ( x e. A /\ ph ) ) |
|
| 5 | 2 3 4 | 3bitr4i | |- ( E* x e. A ( x e. A /\ ph ) <-> E* x e. A ph ) |