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	$$⊢\left(\phi \wedge \psi \wedge \chi \right)\to \theta$$
Assertion	3com23	$$⊢\left(\phi \wedge \chi \wedge \psi \right)\to \theta$$

Proof

Step	Hyp	Ref	Expression
1		3exp.1	$$⊢\left(\phi \wedge \psi \wedge \chi \right)\to \theta$$
2	1	3comr	$$⊢\left(\chi \wedge \phi \wedge \psi \right)\to \theta$$
3	2	3com12	$$⊢\left(\phi \wedge \chi \wedge \psi \right)\to \theta$$