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Mirrors > Home > ILE Home > Th. List > Mathboxes > bdciun | Unicode version |
Description: The indexed union of a bounded class with a setvar indexing set is a bounded class. (Contributed by BJ, 16-Oct-2019.) |
Ref | Expression |
---|---|
bdciun.1 |
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Ref | Expression |
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bdciun |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bdciun.1 |
. . . . 5
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2 | 1 | bdeli 15076 |
. . . 4
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3 | 2 | ax-bdex 15049 |
. . 3
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4 | 3 | bdcab 15079 |
. 2
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5 | df-iun 3903 |
. 2
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6 | 4, 5 | bdceqir 15074 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-5 1458 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-4 1521 ax-17 1537 ax-ial 1545 ax-ext 2171 ax-bd0 15043 ax-bdex 15049 ax-bdsb 15052 |
This theorem depends on definitions: df-bi 117 df-clab 2176 df-cleq 2182 df-clel 2185 df-iun 3903 df-bdc 15071 |
This theorem is referenced by: (None) |
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