Description: Inference version of nic-imp using right-handed term. (Contributed by Jeff Hoffman, 17-Nov-2007) (Proof modification is discouraged.) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Hypotheses | nic-iimp1.1 | |- ( ph -/\ ( ch -/\ ps ) ) |
|
| nic-iimp1.2 | |- ( th -/\ ch ) |
||
| Assertion | nic-iimp1 | |- ( th -/\ ph ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | nic-iimp1.1 | |- ( ph -/\ ( ch -/\ ps ) ) |
|
| 2 | nic-iimp1.2 | |- ( th -/\ ch ) |
|
| 3 | 1 | nic-imp | |- ( ( th -/\ ch ) -/\ ( ( ph -/\ th ) -/\ ( ph -/\ th ) ) ) |
| 4 | 2 3 | nic-mp | |- ( ph -/\ th ) |
| 5 | 4 | nic-isw1 | |- ( th -/\ ph ) |