Description: Syllogism combined with contraction. (Contributed by NM, 11-Mar-2012)
Ref | Expression | ||
---|---|---|---|
Hypotheses | syl3anc.1 | |
|
syl3anc.2 | |
||
syl3anc.3 | |
||
syl3anc.4 | |
||
Assertion | syl3anc | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl3anc.1 | |
|
2 | syl3anc.2 | |
|
3 | syl3anc.3 | |
|
4 | syl3anc.4 | |
|
5 | 1 2 3 | 3jca | |
6 | 5 4 | syl | |