| Higher-Order Logic Explorer |
< Previous
Next >
Nearby theorems |
||
| Mirrors > Home > HOLE Home > Th. List > ax-syl | GIF version | ||
| Description: Syllogism inference. (Contributed by Mario Carneiro, 8-Oct-2014.) |
| Ref | Expression |
|---|---|
| ax-syl.1 | ⊢ R⊧S |
| ax-syl.2 | ⊢ S⊧T |
| Ref | Expression |
|---|---|
| ax-syl | ⊢ R⊧T |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | tr | . 2 term R | |
| 2 | tt | . 2 term T | |
| 3 | 1, 2 | wffMMJ2 11 | 1 wff R⊧T |
| Colors of variables: type var term |
| This axiom is referenced by: syl 16 |
| Copyright terms: Public domain | W3C validator |