Mathbox for BJ |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > Mathboxes > bj-bdind | Unicode version |
Description: Boundedness of the formula "the setvar is an inductive class". (Contributed by BJ, 30-Nov-2019.) |
Ref | Expression |
---|---|
bj-bdind | BOUNDED Ind |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bj-bd0el 10659 | . . 3 BOUNDED | |
2 | bj-bdsucel 10673 | . . . 4 BOUNDED | |
3 | 2 | ax-bdal 10609 | . . 3 BOUNDED |
4 | 1, 3 | ax-bdan 10606 | . 2 BOUNDED |
5 | df-bj-ind 10722 | . 2 Ind | |
6 | 4, 5 | bd0r 10616 | 1 BOUNDED Ind |
Colors of variables: wff set class |
Syntax hints: wa 102 wcel 1433 wral 2348 c0 3251 csuc 4120 BOUNDED wbd 10603 Ind wind 10721 |
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-in1 576 ax-in2 577 ax-io 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-10 1436 ax-11 1437 ax-i12 1438 ax-bndl 1439 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 ax-bd0 10604 ax-bdim 10605 ax-bdan 10606 ax-bdor 10607 ax-bdn 10608 ax-bdal 10609 ax-bdex 10610 ax-bdeq 10611 ax-bdel 10612 ax-bdsb 10613 |
This theorem depends on definitions: df-bi 115 df-tru 1287 df-fal 1290 df-nf 1390 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-nfc 2208 df-ral 2353 df-rex 2354 df-v 2603 df-dif 2975 df-un 2977 df-in 2979 df-ss 2986 df-nul 3252 df-sn 3404 df-suc 4126 df-bdc 10632 df-bj-ind 10722 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |