Theorem ancomst

Description: Closed form of ancoms . (Contributed by Alan Sare, 31-Dec-2011)

	Ref	Expression
Assertion	ancomst	⊢ ( ( ( 𝜑 ∧ 𝜓 ) → 𝜒 ) ↔ ( ( 𝜓 ∧ 𝜑 ) → 𝜒 ) )

Proof

Step	Hyp	Ref	Expression
1		ancom	⊢ ( ( 𝜑 ∧ 𝜓 ) ↔ ( 𝜓 ∧ 𝜑 ) )
2	1	imbi1i	⊢ ( ( ( 𝜑 ∧ 𝜓 ) → 𝜒 ) ↔ ( ( 𝜓 ∧ 𝜑 ) → 𝜒 ) )