Description: An elimination deduction. (Contributed by Alan Sare, 4-Feb-2017) (Proof modification is discouraged.) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Hypotheses | eel0cT.1 | ⊢ 𝜑 | |
| eel0cT.2 | ⊢ ( 𝜑 → 𝜓 ) | ||
| Assertion | eel0cT | ⊢ ( ⊤ → 𝜓 ) | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | eel0cT.1 | ⊢ 𝜑 | |
| 2 | eel0cT.2 | ⊢ ( 𝜑 → 𝜓 ) | |
| 3 | 1 2 | ax-mp | ⊢ 𝜓 | 
| 4 | 3 | a1i | ⊢ ( ⊤ → 𝜓 ) |