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| Mirrors > Home > HOLE Home > Th. List > ax-wc | GIF version | ||
| Description: The type of a combination. (Contributed by Mario Carneiro, 7-Oct-2014.) (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| wc.1 | ⊢ F:(α → β) |
| wc.2 | ⊢ T:α |
| Ref | Expression |
|---|---|
| ax-wc | ⊢ (FT):β |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | hbe | . 2 type β | |
| 2 | tf | . . 3 term F | |
| 3 | tt | . . 3 term T | |
| 4 | 2, 3 | kc 5 | . 2 term (FT) |
| 5 | 1, 4 | wffMMJ2t 12 | 1 wff (FT):β |
| Colors of variables: type var term |
| This axiom is referenced by: wc 50 |
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