Theorem impcom

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

	Ref	Expression
Hypothesis	imp.1	⊢ ( 𝜑 → ( 𝜓 → 𝜒 ) )
Assertion	impcom	⊢ ( ( 𝜓 ∧ 𝜑 ) → 𝜒 )

Proof

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