Metamath Proof Explorer

Theorem simp221

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

Ref Expression
Assertion simp221 ⊢ η ∧ θ ∧ φ ∧ ψ ∧ χ ∧ τ ∧ ζ → φ

Proof

Step Hyp Ref Expression
1 simp21 ⊢ θ ∧ φ ∧ ψ ∧ χ ∧ τ → φ
2 1 3ad2ant2 ⊢ η ∧ θ ∧ φ ∧ ψ ∧ χ ∧ τ ∧ ζ → φ