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| Mirrors > Home > ILE Home > Th. List > Mathboxes > bdtru | GIF version | ||
| Description: The truth value ⊤ is bounded. (Contributed by BJ, 3-Oct-2019.) |
| Ref | Expression |
|---|---|
| bdtru | ⊢ BOUNDED ⊤ |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | tru 1406 | . 2 ⊢ ⊤ | |
| 2 | 1 | bdth 16955 | 1 ⊢ BOUNDED ⊤ |
| Colors of variables: wff set class |
| This proof depends on syntax axioms: ⊤wtru 1403 BOUNDED wbd 16936 |
| This proof depends on axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-bd0 16937 ax-bdim 16938 ax-bdeq 16944 |
| This proof depends on definitions: df-bi 117 df-tru 1405 |
| This theorem is used by: bdfal 16957 bdnthALT 16959 |
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