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Metamath Proof Explorer

Theorem bnj835

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

	Ref	Expression
Hypotheses	bnj835.1	$⊢ η \leftrightarrow (φ \land ψ \land χ)$
	bnj835.2	$⊢ φ \to τ$
Assertion	bnj835	$⊢ η \to τ$

Step	Hyp	Ref	Expression
1		bnj835.1	$⊢ η \leftrightarrow (φ \land ψ \land χ)$
2		bnj835.2	$⊢ φ \to τ$
3	2	3ad2ant1	$⊢ (φ \land ψ \land χ) \to τ$
4	1 3	sylbi	$⊢ η \to τ$