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Mirrors > Home > ILE Home > Th. List > Mathboxes > bdccsb | Unicode version |
Description: A class resulting from proper substitution of a setvar for a setvar in a bounded class is bounded. (Contributed by BJ, 16-Oct-2019.) |
Ref | Expression |
---|---|
bdccsb.1 |
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Ref | Expression |
---|---|
bdccsb |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bdccsb.1 |
. . . . 5
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2 | 1 | bdeli 12736 |
. . . 4
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3 | 2 | bdsbc 12748 |
. . 3
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4 | 3 | bdcab 12739 |
. 2
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5 | df-csb 2972 |
. 2
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6 | 4, 5 | bdceqir 12734 |
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 105 ax-ia2 106 ax-ia3 107 ax-5 1406 ax-gen 1408 ax-ie1 1452 ax-ie2 1453 ax-4 1470 ax-17 1489 ax-ial 1497 ax-ext 2097 ax-bd0 12703 ax-bdsb 12712 |
This theorem depends on definitions: df-bi 116 df-clab 2102 df-cleq 2108 df-clel 2111 df-sbc 2879 df-csb 2972 df-bdc 12731 |
This theorem is referenced by: (None) |
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