| Higher-Order Logic Explorer |
< Previous
Next >
Nearby theorems |
||
| Mirrors > Home > HOLE Home > Th. List > trud | GIF version | ||
| Description: Deduction form of tru 44. (Contributed by Mario Carneiro, 7-Oct-2014.) |
| Ref | Expression |
|---|---|
| ax-trud.1 | ⊢ R:∗ |
| Ref | Expression |
|---|---|
| trud | ⊢ R⊧⊤ |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ax-trud.1 | . 2 ⊢ R:∗ | |
| 2 | 1 | ax-trud 26 | 1 ⊢ R⊧⊤ |
| Colors of variables: type var term |
| Syntax hints: ∗hb 3 ⊤kt 8 ⊧wffMMJ2 11 wffMMJ2t 12 |
| This theorem was proved from axioms: ax-trud 26 |
| This theorem is referenced by: trul 39 hbov 111 ax4g 149 dfan2 154 hbct 155 axun 222 |
| Copyright terms: Public domain | W3C validator |