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Mirrors > Home > ILE Home > Th. List > Mathboxes > bdph | Unicode version |
Description: A formula which defines (by class abstraction) a bounded class is bounded. (Contributed by BJ, 6-Oct-2019.) |
Ref | Expression |
---|---|
bdph.1 |
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Ref | Expression |
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bdph |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bdph.1 |
. . . . 5
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2 | 1 | bdeli 15051 |
. . . 4
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3 | df-clab 2176 |
. . . 4
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4 | 2, 3 | bd0 15029 |
. . 3
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5 | 4 | ax-bdsb 15027 |
. 2
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6 | sbid2v 2008 |
. 2
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7 | 5, 6 | bd0 15029 |
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-8 1515 ax-11 1517 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-bd0 15018 ax-bdsb 15027 |
This theorem depends on definitions: df-bi 117 df-sb 1774 df-clab 2176 df-bdc 15046 |
This theorem is referenced by: bds 15056 |
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