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Metamath Proof Explorer

Theorem com13

Description: Commutation of antecedents. Swap 1st and 3rd. (Contributed by NM, 25-Apr-1994) (Proof shortened by Wolf Lammen, 28-Jul-2012)

		Ref	Expression
	Hypothesis	com3.1	$⊢ φ \to (ψ \to (χ \to θ))$
	Assertion	com13	$⊢ χ \to (ψ \to (φ \to θ))$

Step	Hyp	Ref	Expression
1		com3.1	$⊢ φ \to (ψ \to (χ \to θ))$
2	1	com3r	$⊢ χ \to (φ \to (ψ \to θ))$
3	2	com23	$⊢ χ \to (ψ \to (φ \to θ))$