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Mirrors > Home > ILE Home > Th. List > a16g | Unicode version |
Description: A generalization of axiom ax-16 1742. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Andrew Salmon, 25-May-2011.) |
Ref | Expression |
---|---|
a16g |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | aev 1740 |
. 2
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2 | ax16 1741 |
. 2
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3 | biidd 170 |
. . . 4
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4 | 3 | dral1 1665 |
. . 3
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5 | 4 | biimprd 156 |
. 2
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6 | 1, 2, 5 | sylsyld 57 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-io 665 ax-5 1381 ax-7 1382 ax-gen 1383 ax-ie1 1427 ax-ie2 1428 ax-8 1440 ax-10 1441 ax-11 1442 ax-i12 1443 ax-4 1445 ax-17 1464 ax-i9 1468 ax-ial 1472 |
This theorem depends on definitions: df-bi 115 df-nf 1395 df-sb 1693 |
This theorem is referenced by: a16gb 1793 a16nf 1794 |
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