Metamath Proof Explorer

Theorem bnj658

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

Ref Expression
Assertion bnj658 ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ∧ 𝜃 ) → ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) )

Proof

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