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Mirrors > Home > NFE Home > Th. List > a1i | GIF version |
Description: Inference derived from axiom ax-1 5. See a1d 22 for an explanation of our informal use of the terms "inference" and "deduction." See also the comment in syld 40. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
a1i.1 | ⊢ φ |
Ref | Expression |
---|---|
a1i | ⊢ (ψ → φ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | a1i.1 | . 2 ⊢ φ | |
2 | ax-1 5 | . 2 ⊢ (φ → (ψ → φ)) | |
3 | 1, 2 | ax-mp 8 | 1 ⊢ (ψ → φ) |
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