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| Mirrors > Home > ILE Home > Th. List > Mathboxes > ax-bd0 | Unicode version | ||
| Description: If two formulas are equivalent, then boundedness of one implies boundedness of the other. (Contributed by BJ, 3-Oct-2019.) | 
| Ref | Expression | 
|---|---|
| ax-bd0.1 | 
 | 
| Ref | Expression | 
|---|---|
| ax-bd0 | 
 | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | wph | 
. . 3
 | |
| 2 | 1 | wbd 15458 | 
. 2
 | 
| 3 | wps | 
. . 3
 | |
| 4 | 3 | wbd 15458 | 
. 2
 | 
| 5 | 2, 4 | wi 4 | 
1
 | 
| Colors of variables: wff set class | 
| This axiom is referenced by: bdeq 15469 bd0 15470 | 
| Copyright terms: Public domain | W3C validator |