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Metamath Proof Explorer

Theorem 3imp1

Description: Importation to left triple conjunction. (Contributed by NM, 24-Feb-2005)

		Ref	Expression
	Hypothesis	3imp1.1	$⊢ φ \to (ψ \to (χ \to (θ \to τ)))$
	Assertion	3imp1	$⊢ ((φ \land ψ \land χ) \land θ) \to τ$

Step	Hyp	Ref	Expression
1		3imp1.1	$⊢ φ \to (ψ \to (χ \to (θ \to τ)))$
2	1	3imp	$⊢ (φ \land ψ \land χ) \to (θ \to τ)$
3	2	imp	$⊢ ((φ \land ψ \land χ) \land θ) \to τ$