Metamath Proof Explorer

Theorem exp58

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

		Ref	Expression
	Hypothesis	exp58.1	$⊢ ((φ \land ψ) \land ((χ \land θ) \land τ)) \to η$
	Assertion	exp58	$⊢ φ \to (ψ \to (χ \to (θ \to (τ \to η))))$

Step	Hyp	Ref	Expression
1		exp58.1	$⊢ ((φ \land ψ) \land ((χ \land θ) \land τ)) \to η$
2	1	ex	$⊢ (φ \land ψ) \to (((χ \land θ) \land τ) \to η)$
3	2	exp5g	$⊢ φ \to (ψ \to (χ \to (θ \to (τ \to η))))$