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| Mirrors > Home > HOLE Home > Th. List > ax-simpl | GIF version | ||
| Description: Extract an assumption from the context. (Contributed by Mario Carneiro, 8-Oct-2014.) |
| Ref | Expression |
|---|---|
| ax-simpl.1 | ⊢ R:∗ |
| ax-simpl.2 | ⊢ S:∗ |
| Ref | Expression |
|---|---|
| ax-simpl | ⊢ (R, S)⊧R |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | tr | . . 3 term R | |
| 2 | ts | . . 3 term S | |
| 3 | 1, 2 | kct 10 | . 2 term (R, S) |
| 4 | 3, 1 | wffMMJ2 11 | 1 wff (R, S)⊧R |
| Colors of variables: type var term |
| This axiom is referenced by: simpl 22 |
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