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Mirrors > Home > ILE Home > Th. List > a16g | Unicode version |
Description: A generalization of axiom ax-16 1695. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Andrew Salmon, 25-May-2011.) |
Ref | Expression |
---|---|
a16g |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | aev 1693 | . 2 | |
2 | ax16 1694 | . 2 | |
3 | biidd 161 | . . . 4 | |
4 | 3 | dral1 1618 | . . 3 |
5 | 4 | biimprd 147 | . 2 |
6 | 1, 2, 5 | sylsyld 52 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wal 1241 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 |
This theorem depends on definitions: df-bi 110 df-nf 1350 df-sb 1646 |
This theorem is referenced by: a16gb 1745 a16nf 1746 |
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