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Mirrors > Home > ILE Home > Th. List > axun2 | Unicode version |
Description: A variant of the Axiom of Union ax-un 4418. For any set , there exists a set whose members are exactly the members of the members of i.e. the union of . Axiom Union of [BellMachover] p. 466. (Contributed by NM, 4-Jun-2006.) |
Ref | Expression |
---|---|
axun2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-un 4418 | . 2 | |
2 | 1 | bm1.3ii 4110 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 103 wb 104 wal 1346 wex 1485 |
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-5 1440 ax-7 1441 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-8 1497 ax-4 1503 ax-17 1519 ax-i9 1523 ax-ial 1527 ax-14 2144 ax-sep 4107 ax-un 4418 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: (None) |
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