Theorem ancoms

Description: Inference commuting conjunction in antecedent. (Contributed by NM, 21-Apr-1994)

	Ref	Expression
Hypothesis	ancoms.1	$$⊢\left(\phi \wedge \psi \right)\to \chi$$
Assertion	ancoms	$$⊢\left(\psi \wedge \phi \right)\to \chi$$

Proof

Step	Hyp	Ref	Expression
1		ancoms.1	$$⊢\left(\phi \wedge \psi \right)\to \chi$$
2	1	expcom	$$⊢\psi \to \left(\phi \to \chi \right)$$
3	2	imp	$$⊢\left(\psi \wedge \phi \right)\to \chi$$