Description: A mixed syllogism inference. (Contributed by NM, 20-Jun-2007)
Ref | Expression | ||
---|---|---|---|
Hypotheses | imbitrrid.1 | |- ( ph -> th ) |
|
imbitrrid.2 | |- ( ch -> ( ps <-> th ) ) |
||
Assertion | syl5ibrcom | |- ( ph -> ( ch -> ps ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | imbitrrid.1 | |- ( ph -> th ) |
|
2 | imbitrrid.2 | |- ( ch -> ( ps <-> th ) ) |
|
3 | 1 2 | imbitrrid | |- ( ch -> ( ph -> ps ) ) |
4 | 3 | com12 | |- ( ph -> ( ch -> ps ) ) |