Theorem expcom

Description: Exportation inference with commuted antecedents. (Contributed by NM, 25-May-2005)

	Ref	Expression
Hypothesis	ex.1	⊢ ( ( 𝜑 ∧ 𝜓 ) → 𝜒 )
Assertion	expcom	⊢ ( 𝜓 → ( 𝜑 → 𝜒 ) )

Proof

Step	Hyp	Ref	Expression
1		ex.1	⊢ ( ( 𝜑 ∧ 𝜓 ) → 𝜒 )
2	1	ex	⊢ ( 𝜑 → ( 𝜓 → 𝜒 ) )
3	2	com12	⊢ ( 𝜓 → ( 𝜑 → 𝜒 ) )