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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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