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Metamath Proof Explorer

Theorem simp31

Description: Simplification of doubly triple conjunction. (Contributed by NM, 17-Nov-2011)

		Ref	Expression
	Assertion	simp31	$⊢ (φ \land ψ \land (χ \land θ \land τ)) \to χ$

Step	Hyp	Ref	Expression
1		simp1	$⊢ (χ \land θ \land τ) \to χ$
2	1	3ad2ant3	$⊢ (φ \land ψ \land (χ \land θ \land τ)) \to χ$