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Mirrors > Home > ILE Home > Th. List > Mathboxes > bdfal | Unicode version |
Description: The truth value is bounded. (Contributed by BJ, 3-Oct-2019.) |
Ref | Expression |
---|---|
bdfal | BOUNDED |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bdtru 9952 | . . 3 BOUNDED | |
2 | 1 | ax-bdn 9937 | . 2 BOUNDED |
3 | df-fal 1249 | . 2 | |
4 | 2, 3 | bd0r 9945 | 1 BOUNDED |
Colors of variables: wff set class |
Syntax hints: wn 3 wtru 1244 wfal 1248 BOUNDED wbd 9932 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-bd0 9933 ax-bdim 9934 ax-bdn 9937 ax-bdeq 9940 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-fal 1249 |
This theorem is referenced by: bdnth 9954 bj-axemptylem 10012 |
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