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| Mirrors > Home > NFE Home > Th. List > pm2.26 | GIF version | ||
| Description: Theorem *2.26 of [WhiteheadRussell] p. 104. (Contributed by NM, 3-Jan-2005.) (Proof shortened by Wolf Lammen, 23-Nov-2012.) | 
| Ref | Expression | 
|---|---|
| pm2.26 | ⊢ (¬ φ ∨ ((φ → ψ) → ψ)) | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | pm2.27 35 | . 2 ⊢ (φ → ((φ → ψ) → ψ)) | |
| 2 | 1 | imori 402 | 1 ⊢ (¬ φ ∨ ((φ → ψ) → ψ)) | 
| Colors of variables: wff setvar class | 
| Syntax hints: ¬ wn 3 → wi 4 ∨ wo 357 | 
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 | 
| This theorem depends on definitions: df-bi 177 df-or 359 | 
| This theorem is referenced by: (None) | 
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