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Metamath Proof Explorer

Theorem eel0cT

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 )

Proof

Step Hyp Ref Expression
1 eel0cT.1 ⊢ 𝜑
2 eel0cT.2 ⊢ ( 𝜑 → 𝜓 )
3 1 2 ax-mp ⊢ 𝜓
4 3 a1i ⊢ ( ⊤ → 𝜓 )