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Metamath Proof Explorer

Theorem bnj707

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

		Ref	Expression
	Hypothesis	bnj707.1	$⊢ χ \to τ$
	Assertion	bnj707	$⊢ (φ \land ψ \land χ \land θ) \to τ$

Step	Hyp	Ref	Expression
1		bnj707.1	$⊢ χ \to τ$
2		bnj258	$⊢ (φ \land ψ \land χ \land θ) \leftrightarrow ((φ \land ψ \land θ) \land χ)$
3	2	simprbi	$⊢ (φ \land ψ \land χ \land θ) \to χ$
4	3 1	syl	$⊢ (φ \land ψ \land χ \land θ) \to τ$