Metamath Proof Explorer


Theorem bnj643

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

Ref Expression
Assertion bnj643 ⊢ φ ∧ ψ ∧ χ ∧ θ → ψ

Proof

Step Hyp Ref Expression
1 bnj291 ⊢ φ ∧ ψ ∧ χ ∧ θ ↔ φ ∧ χ ∧ θ ∧ ψ
2 1 simprbi ⊢ φ ∧ ψ ∧ χ ∧ θ → ψ