Metamath Proof Explorer


Theorem 3imp231

Description: Importation inference. (Contributed by Alan Sare, 17-Oct-2017)

Ref Expression
Hypothesis 3imp.1 ⊢ φ → ψ → χ → θ
Assertion 3imp231 ⊢ ψ ∧ χ ∧ φ → θ

Proof

Step Hyp Ref Expression
1 3imp.1 ⊢ φ → ψ → χ → θ
2 1 com3l ⊢ ψ → χ → φ → θ
3 2 3imp ⊢ ψ ∧ χ ∧ φ → θ