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

Metamath Proof Explorer

Theorem 3exp2

Description: Exportation from right triple conjunction. (Contributed by NM, 26-Oct-2006)

		Ref	Expression
	Hypothesis	3exp2.1	$⊢ (φ \land (ψ \land χ \land θ)) \to τ$
	Assertion	3exp2	$⊢ φ \to (ψ \to (χ \to (θ \to τ)))$

Step	Hyp	Ref	Expression
1		3exp2.1	$⊢ (φ \land (ψ \land χ \land θ)) \to τ$
2	1	ex	$⊢ φ \to ((ψ \land χ \land θ) \to τ)$
3	2	3expd	$⊢ φ \to (ψ \to (χ \to (θ \to τ)))$