Metamath Proof Explorer

Theorem bnj645

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

Ref Expression
Assertion bnj645 ⊢ φ ∧ ψ ∧ χ ∧ θ → θ

Proof

Step Hyp Ref Expression
1 df-bnj17 ⊢ φ ∧ ψ ∧ χ ∧ θ ↔ φ ∧ ψ ∧ χ ∧ θ
2 1 simprbi ⊢ φ ∧ ψ ∧ χ ∧ θ → θ