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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 2604 | . . 3 | |
2 | 1 | bdth 10622 | . 2 BOUNDED |
3 | 2 | bdelir 10638 | 1 BOUNDED |
Colors of variables: wff set class |
Syntax hints: wcel 1433 cvv 2601 BOUNDED wbdc 10631 |
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 1376 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-ext 2063 ax-bd0 10604 ax-bdim 10605 ax-bdeq 10611 |
This theorem depends on definitions: df-bi 115 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-v 2603 df-bdc 10632 |
This theorem is referenced by: bdcnulALT 10657 |
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