Metamath Proof Explorer

Theorem simp331

Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012)

Ref Expression
Assertion simp331 ⊢ η ∧ ζ ∧ θ ∧ τ ∧ φ ∧ ψ ∧ χ → φ

Proof

Step Hyp Ref Expression
1 simp31 ⊢ θ ∧ τ ∧ φ ∧ ψ ∧ χ → φ
2 1 3ad2ant3 ⊢ η ∧ ζ ∧ θ ∧ τ ∧ φ ∧ ψ ∧ χ → φ