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Mirrors > Home > ILE Home > Th. List > a16g | Unicode version |
Description: A generalization of axiom ax-16 1770. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Andrew Salmon, 25-May-2011.) |
Ref | Expression |
---|---|
a16g |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | aev 1768 | . 2 | |
2 | ax16 1769 | . 2 | |
3 | biidd 171 | . . . 4 | |
4 | 3 | dral1 1693 | . . 3 |
5 | 4 | biimprd 157 | . 2 |
6 | 1, 2, 5 | sylsyld 58 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wal 1314 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 |
This theorem depends on definitions: df-bi 116 df-nf 1422 df-sb 1721 |
This theorem is referenced by: a16gb 1821 a16nf 1822 |
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