Description: Bound-variable hypothesis builder for the at-most-one quantifier. See nfmo for a version without disjoint variable conditions but requiring ax-13 . (Contributed by NM, 9-Mar-1995) (Revised by Wolf Lammen, 2-Oct-2023)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | nfmov.1 | |- F/ x ph |
|
| Assertion | nfmov | |- F/ x E* y ph |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | nfmov.1 | |- F/ x ph |
|
| 2 | nftru | |- F/ y T. |
|
| 3 | 1 | a1i | |- ( T. -> F/ x ph ) |
| 4 | 2 3 | nfmodv | |- ( T. -> F/ x E* y ph ) |
| 5 | 4 | mptru | |- F/ x E* y ph |