Metamath Proof Explorer


Theorem 3impd

Description: Importation deduction for triple conjunction. (Contributed by NM, 26-Oct-2006)

Ref Expression
Hypothesis 3imp1.1 φ ψ χ θ τ
Assertion 3impd φ ψ χ θ τ

Proof

Step Hyp Ref Expression
1 3imp1.1 φ ψ χ θ τ
2 1 com4l ψ χ θ φ τ
3 2 3imp ψ χ θ φ τ
4 3 com12 φ ψ χ θ τ