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Mirrors > Home > ILE Home > Th. List > axun2 | Unicode version |
Description: A variant of the Axiom of Union ax-un 4395. 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 4395 | . 2 | |
2 | 1 | bm1.3ii 4087 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 103 wb 104 wal 1333 wex 1472 |
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 1427 ax-7 1428 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-8 1484 ax-4 1490 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-14 2131 ax-sep 4084 ax-un 4395 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: (None) |
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