Mathbox for BJ |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > Mathboxes > bdth | Unicode version |
Description: A truth (a (closed) theorem) is a bounded formula. (Contributed by BJ, 6-Oct-2019.) |
Ref | Expression |
---|---|
bdth.1 |
Ref | Expression |
---|---|
bdth | BOUNDED |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-bdeq 10611 | . . 3 BOUNDED | |
2 | 1, 1 | ax-bdim 10605 | . 2 BOUNDED |
3 | id 19 | . . 3 | |
4 | bdth.1 | . . 3 | |
5 | 3, 4 | 2th 172 | . 2 |
6 | 2, 5 | bd0 10615 | 1 BOUNDED |
Colors of variables: wff set class |
Syntax hints: wi 4 BOUNDED wbd 10603 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia2 105 ax-ia3 106 ax-bd0 10604 ax-bdim 10605 ax-bdeq 10611 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: bdtru 10623 bdcvv 10648 |
Copyright terms: Public domain | W3C validator |