Metamath Proof Explorer


Theorem 2a1i

Description: Inference introducing two antecedents. Two applications of a1i . Inference associated with 2a1 . (Contributed by Jeff Hankins, 4-Aug-2009)

Ref Expression
Hypothesis 2a1i.1 𝜑
Assertion 2a1i ( 𝜓 → ( 𝜒𝜑 ) )

Proof

Step Hyp Ref Expression
1 2a1i.1 𝜑
2 1 a1i ( 𝜒𝜑 )
3 2 a1i ( 𝜓 → ( 𝜒𝜑 ) )