Metamath Proof Explorer


Theorem 2a1d

Description: Deduction introducing two antecedents. Two applications of a1d . Deduction associated with 2a1 and 2a1i . (Contributed by BJ, 10-Aug-2020)

Ref Expression
Hypothesis 2a1d.1 ( 𝜑𝜓 )
Assertion 2a1d ( 𝜑 → ( 𝜒 → ( 𝜃𝜓 ) ) )

Proof

Step Hyp Ref Expression
1 2a1d.1 ( 𝜑𝜓 )
2 1 a1d ( 𝜑 → ( 𝜃𝜓 ) )
3 2 a1d ( 𝜑 → ( 𝜒 → ( 𝜃𝜓 ) ) )