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| Description: For all sets, ⊤ is true. (Contributed by Anthony Hart, 13-Sep-2011.) | 
| Ref | Expression | 
|---|---|
| altru | ⊢ ∀𝑥⊤ | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | tru 1543 | . 2 ⊢ ⊤ | |
| 2 | 1 | ax-gen 1794 | 1 ⊢ ∀𝑥⊤ | 
| Colors of variables: wff setvar class | 
| Syntax hints: ∀wal 1537 ⊤wtru 1540 | 
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1794 | 
| This theorem depends on definitions: df-bi 207 df-tru 1542 | 
| This theorem is referenced by: (None) | 
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