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Mirrors > Home > ILE Home > Th. List > Mathboxes > bdcvv | Unicode version |
Description: The universal class is bounded. The formulation may sound strange, but recall that here, "bounded" means "Δ0". (Contributed by BJ, 3-Oct-2019.) |
Ref | Expression |
---|---|
bdcvv | BOUNDED |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | vex 2733 | . . 3 | |
2 | 1 | bdth 13826 | . 2 BOUNDED |
3 | 2 | bdelir 13842 | 1 BOUNDED |
Colors of variables: wff set class |
Syntax hints: wcel 2141 cvv 2730 BOUNDED wbdc 13835 |
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 1440 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-8 1497 ax-4 1503 ax-17 1519 ax-i9 1523 ax-ial 1527 ax-ext 2152 ax-bd0 13808 ax-bdim 13809 ax-bdeq 13815 |
This theorem depends on definitions: df-bi 116 df-sb 1756 df-clab 2157 df-cleq 2163 df-clel 2166 df-v 2732 df-bdc 13836 |
This theorem is referenced by: bdcnulALT 13861 |
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