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Metamath Proof Explorer

Theorem imp42

Description: An importation inference. (Contributed by NM, 26-Apr-1994)

		Ref	Expression
	Hypothesis	imp4.1	$⊢ φ \to (ψ \to (χ \to (θ \to τ)))$
	Assertion	imp42	$⊢ ((φ \land (ψ \land χ)) \land θ) \to τ$

Step	Hyp	Ref	Expression
1		imp4.1	$⊢ φ \to (ψ \to (χ \to (θ \to τ)))$
2	1	imp32	$⊢ (φ \land (ψ \land χ)) \to (θ \to τ)$
3	2	imp	$⊢ ((φ \land (ψ \land χ)) \land θ) \to τ$