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Metamath Proof Explorer

Theorem exp53

Description: An exportation inference. (Contributed by Jeff Hankins, 30-Aug-2009)

		Ref	Expression
	Hypothesis	exp53.1	$⊢ (((φ \land ψ) \land (χ \land θ)) \land τ) \to η$
	Assertion	exp53	$⊢ φ \to (ψ \to (χ \to (θ \to (τ \to η))))$

Step	Hyp	Ref	Expression
1		exp53.1	$⊢ (((φ \land ψ) \land (χ \land θ)) \land τ) \to η$
2	1	ex	$⊢ ((φ \land ψ) \land (χ \land θ)) \to (τ \to η)$
3	2	exp43	$⊢ φ \to (ψ \to (χ \to (θ \to (τ \to η))))$