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 ( 𝜑𝜓 )
Assertion eel0cT ( ⊤ → 𝜓 )

Proof

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