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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 11104 |
. . 3
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2 | bdcsn 11104 |
. . 3
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3 | 1, 2 | bdcun 11096 |
. 2
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4 | df-pr 3429 |
. 2
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5 | 3, 4 | bdceqir 11078 |
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-5 1377 ax-gen 1379 ax-ie1 1423 ax-ie2 1424 ax-4 1441 ax-17 1460 ax-ial 1468 ax-ext 2065 ax-bd0 11047 ax-bdor 11050 ax-bdeq 11054 ax-bdsb 11056 |
This theorem depends on definitions: df-bi 115 df-clab 2070 df-cleq 2076 df-clel 2079 df-un 2988 df-sn 3428 df-pr 3429 df-bdc 11075 |
This theorem is referenced by: bdctp 11106 bdop 11109 |
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