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Mirrors > Home > MPE Home > Th. List > syl333anc | Structured version Visualization version Unicode version |
Description: A syllogism inference combined with contraction. (Contributed by NM, 10-Mar-2012.) |
Ref | Expression |
---|---|
syl12anc.1 | |
syl12anc.2 | |
syl12anc.3 | |
syl22anc.4 | |
syl23anc.5 | |
syl33anc.6 | |
syl133anc.7 | |
syl233anc.8 | |
syl333anc.9 | |
syl333anc.10 |
Ref | Expression |
---|---|
syl333anc |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl12anc.1 | . 2 | |
2 | syl12anc.2 | . 2 | |
3 | syl12anc.3 | . 2 | |
4 | syl22anc.4 | . 2 | |
5 | syl23anc.5 | . 2 | |
6 | syl33anc.6 | . 2 | |
7 | syl133anc.7 | . . 3 | |
8 | syl233anc.8 | . . 3 | |
9 | syl333anc.9 | . . 3 | |
10 | 7, 8, 9 | 3jca 1242 | . 2 |
11 | syl333anc.10 | . 2 | |
12 | 1, 2, 3, 4, 5, 6, 10, 11 | syl331anc 1351 | 1 |
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