Metamath Proof Explorer


Theorem bnj667

Description: /\ -manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)

Ref Expression
Assertion bnj667 ⊢ φ ∧ ψ ∧ χ ∧ θ → ψ ∧ χ ∧ θ

Proof

Step Hyp Ref Expression
1 bnj446 ⊢ φ ∧ ψ ∧ χ ∧ θ ↔ ψ ∧ χ ∧ θ ∧ φ
2 1 simplbi ⊢ φ ∧ ψ ∧ χ ∧ θ → ψ ∧ χ ∧ θ