Metamath Proof Explorer

Theorem exp4c

Description: An exportation inference. (Contributed by NM, 26-Apr-1994)

		Ref	Expression
	Hypothesis	exp4c.1	$⊢ φ \to (((ψ \land χ) \land θ) \to τ)$
	Assertion	exp4c	$⊢ φ \to (ψ \to (χ \to (θ \to τ)))$

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