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Metamath Proof Explorer

Theorem bnj705

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

		Ref	Expression
	Hypothesis	bnj705.1	$⊢ φ \to τ$
	Assertion	bnj705	$⊢ (φ \land ψ \land χ \land θ) \to τ$

Step	Hyp	Ref	Expression
1		bnj705.1	$⊢ φ \to τ$
2		bnj642	$⊢ (φ \land ψ \land χ \land θ) \to φ$
3	2 1	syl	$⊢ (φ \land ψ \land χ \land θ) \to τ$