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Mirrors > Home > ILE Home > Th. List > Mathboxes > bdcsn | Unicode version |
Description: The singleton of a setvar is bounded. (Contributed by BJ, 16-Oct-2019.) |
Ref | Expression |
---|---|
bdcsn |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-bdeq 14454 |
. . 3
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2 | 1 | bdcab 14483 |
. 2
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3 | df-sn 3598 |
. 2
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4 | 2, 3 | bdceqir 14478 |
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 1447 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-4 1510 ax-17 1526 ax-ial 1534 ax-ext 2159 ax-bd0 14447 ax-bdeq 14454 ax-bdsb 14456 |
This theorem depends on definitions: df-bi 117 df-clab 2164 df-cleq 2170 df-clel 2173 df-sn 3598 df-bdc 14475 |
This theorem is referenced by: bdcpr 14505 bdctp 14506 bdvsn 14508 bdcsuc 14514 |
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