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Metamath Proof Explorer

Theorem simp12

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

		Ref	Expression
	Assertion	simp12	$⊢ ((φ \land ψ \land χ) \land θ \land τ) \to ψ$

Step	Hyp	Ref	Expression
1		simp2	$⊢ (φ \land ψ \land χ) \to ψ$
2	1	3ad2ant1	$⊢ ((φ \land ψ \land χ) \land θ \land τ) \to ψ$