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Metamath Proof Explorer

Theorem exp5j

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

		Ref	Expression
	Hypothesis	exp5j.1	$⊢ φ \to ((((ψ \land χ) \land θ) \land τ) \to η)$
	Assertion	exp5j	$⊢ φ \to (ψ \to (χ \to (θ \to (τ \to η))))$

Step	Hyp	Ref	Expression
1		exp5j.1	$⊢ φ \to ((((ψ \land χ) \land θ) \land τ) \to η)$
2	1	expd	$⊢ φ \to (((ψ \land χ) \land θ) \to (τ \to η))$
3	2	exp4c	$⊢ φ \to (ψ \to (χ \to (θ \to (τ \to η))))$