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Mirrors > Home > ILE Home > Th. List > Mathboxes > bdcpr | Unicode version |
Description: The pair of two setvars is bounded. (Contributed by BJ, 16-Oct-2019.) |
Ref | Expression |
---|---|
bdcpr |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bdcsn 13239 |
. . 3
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2 | bdcsn 13239 |
. . 3
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3 | 1, 2 | bdcun 13231 |
. 2
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4 | df-pr 3539 |
. 2
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5 | 3, 4 | bdceqir 13213 |
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 105 ax-ia2 106 ax-ia3 107 ax-5 1424 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-4 1488 ax-17 1507 ax-ial 1515 ax-ext 2122 ax-bd0 13182 ax-bdor 13185 ax-bdeq 13189 ax-bdsb 13191 |
This theorem depends on definitions: df-bi 116 df-clab 2127 df-cleq 2133 df-clel 2136 df-un 3080 df-sn 3538 df-pr 3539 df-bdc 13210 |
This theorem is referenced by: bdctp 13241 bdop 13244 |
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