Description: Inference version of nic-imp using left-handed term. (Contributed by Jeff Hoffman, 17-Nov-2007) (Proof modification is discouraged.) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Hypotheses | nic-iimp2.1 | |- ( ( ph -/\ ps ) -/\ ( ch -/\ ch ) ) |
|
| nic-iimp2.2 | |- ( th -/\ ph ) |
||
| Assertion | nic-iimp2 | |- ( th -/\ ( ch -/\ ch ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | nic-iimp2.1 | |- ( ( ph -/\ ps ) -/\ ( ch -/\ ch ) ) |
|
| 2 | nic-iimp2.2 | |- ( th -/\ ph ) |
|
| 3 | 1 | nic-isw1 | |- ( ( ch -/\ ch ) -/\ ( ph -/\ ps ) ) |
| 4 | 3 2 | nic-iimp1 | |- ( th -/\ ( ch -/\ ch ) ) |