Metamath Proof Explorer

Theorem exp510

Description: An exportation inference. (Contributed by Jeff Hankins, 7-Jul-2009)

		Ref	Expression
	Hypothesis	exp510.1	$⊢ (φ \land (((ψ \land χ) \land θ) \land τ)) \to η$
	Assertion	exp510	$⊢ φ \to (ψ \to (χ \to (θ \to (τ \to η))))$

Step	Hyp	Ref	Expression
1		exp510.1	$⊢ (φ \land (((ψ \land χ) \land θ) \land τ)) \to η$
2	1	ex	$⊢ φ \to ((((ψ \land χ) \land θ) \land τ) \to η)$
3	2	exp5j	$⊢ φ \to (ψ \to (χ \to (θ \to (τ \to η))))$