Description: A syllogism rule of inference. The first premise is used to replace the third antecedent of the second premise. (Contributed by NM, 12-Jan-1993) (Proof shortened by Wolf Lammen, 3-Aug-2012)
Ref | Expression | ||
---|---|---|---|
Hypotheses | syl7.1 | |
|
syl7.2 | |
||
Assertion | syl7 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl7.1 | |
|
2 | syl7.2 | |
|
3 | 1 | a1i | |
4 | 3 2 | syl5d | |