Theorem con3rr3

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

	Ref	Expression
Hypothesis	con3rr3.1	$$⊢\phi \to \left(\psi \to \chi \right)$$
Assertion	con3rr3	$$⊢\neg \chi \to \left(\phi \to \neg \psi \right)$$

Proof

Step	Hyp	Ref	Expression
1		con3rr3.1	$$⊢\phi \to \left(\psi \to \chi \right)$$
2	1	con3d	$$⊢\phi \to \left(\neg \chi \to \neg \psi \right)$$
3	2	com12	$$⊢\neg \chi \to \left(\phi \to \neg \psi \right)$$