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Metamath Proof Explorer

Theorem con3rr3

Description: Rotate through consequent right. (Contributed by Wolf Lammen, 3-Nov-2013)

		Ref	Expression
	Hypothesis	con3rr3.1	$⊢ φ \to (ψ \to χ)$
	Assertion	con3rr3	$⊢ \neg χ \to (φ \to \neg ψ)$

Step	Hyp	Ref	Expression
1		con3rr3.1	$⊢ φ \to (ψ \to χ)$
2	1	con3d	$⊢ φ \to (\neg χ \to \neg ψ)$
3	2	com12	$⊢ \neg χ \to (φ \to \neg ψ)$