Theorem 3com23

Description: Commutation in antecedent. Swap 2nd and 3rd. (Contributed by NM, 28-Jan-1996) (Proof shortened by Wolf Lammen, 9-Apr-2022)

	Ref	Expression
Hypothesis	3exp.1	⊢ ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) → 𝜃 )
Assertion	3com23	⊢ ( ( 𝜑 ∧ 𝜒 ∧ 𝜓 ) → 𝜃 )

Proof

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