Metamath Proof Explorer

Theorem exp511

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

		Ref	Expression
	Hypothesis	exp511.1	$⊢ (φ \land ((ψ \land (χ \land θ)) \land τ)) \to η$
	Assertion	exp511	$⊢ φ \to (ψ \to (χ \to (θ \to (τ \to η))))$

Step	Hyp	Ref	Expression
1		exp511.1	$⊢ (φ \land ((ψ \land (χ \land θ)) \land τ)) \to η$
2	1	ex	$⊢ φ \to (((ψ \land (χ \land θ)) \land τ) \to η)$
3	2	exp5k	$⊢ φ \to (ψ \to (χ \to (θ \to (τ \to η))))$