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Metamath Proof Explorer

Theorem bnj256

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

		Ref	Expression
	Assertion	bnj256	$⊢ (φ \land ψ \land χ \land θ) \leftrightarrow ((φ \land ψ) \land (χ \land θ))$

Step	Hyp	Ref	Expression
1		bnj248	$⊢ (φ \land ψ \land χ \land θ) \leftrightarrow (((φ \land ψ) \land χ) \land θ)$
2		anass	$⊢ (((φ \land ψ) \land χ) \land θ) \leftrightarrow ((φ \land ψ) \land (χ \land θ))$
3	1 2	bitri	$⊢ (φ \land ψ \land χ \land θ) \leftrightarrow ((φ \land ψ) \land (χ \land θ))$