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Metamath Proof Explorer

Theorem mp3an12i

Description: mp3an with antecedents in standard conjunction form and with one hypothesis an implication. (Contributed by Alan Sare, 28-Aug-2016)

Step	Hyp	Ref	Expression
1		mp3an12i.1	$⊢ φ$
2		mp3an12i.2	$⊢ ψ$
3		mp3an12i.3	$⊢ χ \to θ$
4		mp3an12i.4	$⊢ (φ \land ψ \land θ) \to τ$
5	1 2 4	mp3an12	$⊢ θ \to τ$
6	3 5	syl	$⊢ χ \to τ$