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 ) |