Description: Closed form of nfim and nfimd . (Contributed by BJ, 20-Oct-2021) Eliminate curried form, former name nfimt2. (Revised by Wolf Lammen, 6-Jul-2022)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | nfimt | |- ( ( F/ x ph /\ F/ x ps ) -> F/ x ( ph -> ps ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | simpl | |- ( ( F/ x ph /\ F/ x ps ) -> F/ x ph ) |
|
| 2 | simpr | |- ( ( F/ x ph /\ F/ x ps ) -> F/ x ps ) |
|
| 3 | 1 2 | nfimd | |- ( ( F/ x ph /\ F/ x ps ) -> F/ x ( ph -> ps ) ) |