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| Description: This theorem, sometimes called "Assertion" or "Pon" (for "ponens"), can be thought of as a closed form of modus ponens ax-mp 5. Theorem *2.27 of [WhiteheadRussell] p. 104. (Contributed by NM, 15-Jul-1993.) | 
| Ref | Expression | 
|---|---|
| pm2.27 | ⊢ (𝜑 → ((𝜑 → 𝜓) → 𝜓)) | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | id 22 | . 2 ⊢ ((𝜑 → 𝜓) → (𝜑 → 𝜓)) | |
| 2 | 1 | com12 32 | 1 ⊢ (𝜑 → ((𝜑 → 𝜓) → 𝜓)) | 
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