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Related theorems GIF version |
| Description: Inference based on pm2.86 63. |
| Ref | Expression |
|---|---|
| pm2.86i.1 | ⊢ ((φ → ψ) → (φ → χ)) |
| Ref | Expression |
|---|---|
| pm2.86i | ⊢ (φ → (ψ → χ)) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | pm2.86i.1 | . 2 ⊢ ((φ → ψ) → (φ → χ)) | |
| 2 | pm2.86 63 | . 2 ⊢ (((φ → ψ) → (φ → χ)) → (φ → (ψ → χ))) | |
| 3 | 1, 2 | ax-mp 6 | 1 ⊢ (φ → (ψ → χ)) |
| Colors of variables: wff set class |
| Syntax hints: → wi 2 |
| This theorem was proved from axioms: ax-1 3 ax-2 4 ax-mp 6 |