Metamath Proof Explorer

Theorem simp222

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

Ref Expression
Assertion simp222 ⊢ η ∧ θ ∧ φ ∧ ψ ∧ χ ∧ τ ∧ ζ → ψ

Proof

Step Hyp Ref Expression
1 simp22 ⊢ θ ∧ φ ∧ ψ ∧ χ ∧ τ → ψ
2 1 3ad2ant2 ⊢ η ∧ θ ∧ φ ∧ ψ ∧ χ ∧ τ ∧ ζ → ψ