Theorem con3rr3

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

	Ref	Expression
Hypothesis	con3rr3.1	⊢ ( 𝜑 → ( 𝜓 → 𝜒 ) )
Assertion	con3rr3	⊢ ( ¬ 𝜒 → ( 𝜑 → ¬ 𝜓 ) )

Proof

Step	Hyp	Ref	Expression
1		con3rr3.1	⊢ ( 𝜑 → ( 𝜓 → 𝜒 ) )
2	1	con3d	⊢ ( 𝜑 → ( ¬ 𝜒 → ¬ 𝜓 ) )
3	2	com12	⊢ ( ¬ 𝜒 → ( 𝜑 → ¬ 𝜓 ) )