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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 12957 | . . 3 BOUNDED | |
2 | 1 | ax-bdn 12942 | . 2 BOUNDED |
3 | df-fal 1322 | . 2 | |
4 | 2, 3 | bd0r 12950 | 1 BOUNDED |
Colors of variables: wff set class |
Syntax hints: wn 3 wtru 1317 wfal 1321 BOUNDED wbd 12937 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-bd0 12938 ax-bdim 12939 ax-bdn 12942 ax-bdeq 12945 |
This theorem depends on definitions: df-bi 116 df-tru 1319 df-fal 1322 |
This theorem is referenced by: bdnth 12959 bj-axemptylem 13017 |
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