This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem imp32

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

		Ref	Expression
	Hypothesis	imp31.1	$⊢ φ \to (ψ \to (χ \to θ))$
	Assertion	imp32	$⊢ (φ \land (ψ \land χ)) \to θ$

Step	Hyp	Ref	Expression
1		imp31.1	$⊢ φ \to (ψ \to (χ \to θ))$
2	1	impd	$⊢ φ \to ((ψ \land χ) \to θ)$
3	2	imp	$⊢ (φ \land (ψ \land χ)) \to θ$