Description: A terminal category is a thin category (deduction form). (Contributed by Zhi Wang, 16-Oct-2025)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | termcthind.c | |- ( ph -> C e. TermCat ) |
|
| Assertion | termcthind | |- ( ph -> C e. ThinCat ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | termcthind.c | |- ( ph -> C e. TermCat ) |
|
| 2 | termcthin | |- ( C e. TermCat -> C e. ThinCat ) |
|
| 3 | 1 2 | syl | |- ( ph -> C e. ThinCat ) |