Description: Inference version of nic-swap . (Contributed by Jeff Hoffman, 17-Nov-2007) (Proof modification is discouraged.) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | nic-isw1.1 | |- ( th -/\ ph ) |
|
| Assertion | nic-isw1 | |- ( ph -/\ th ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | nic-isw1.1 | |- ( th -/\ ph ) |
|
| 2 | nic-swap | |- ( ( th -/\ ph ) -/\ ( ( ph -/\ th ) -/\ ( ph -/\ th ) ) ) |
|
| 3 | 1 2 | nic-mp | |- ( ph -/\ th ) |