Metamath Proof Explorer

Theorem imp4c

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	imp4c	$⊢ φ \to (((ψ \land χ) \land θ) \to τ)$

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