Theorem pm3.22

Description: Theorem *3.22 of WhiteheadRussell p. 111. (Contributed by NM, 3-Jan-2005) (Proof shortened by Wolf Lammen, 13-Nov-2012)

	Ref	Expression
Assertion	pm3.22	⊢ ( ( 𝜑 ∧ 𝜓 ) → ( 𝜓 ∧ 𝜑 ) )

Proof

Step	Hyp	Ref	Expression
1		id	⊢ ( ( 𝜓 ∧ 𝜑 ) → ( 𝜓 ∧ 𝜑 ) )
2	1	ancoms	⊢ ( ( 𝜑 ∧ 𝜓 ) → ( 𝜓 ∧ 𝜑 ) )