Theorem mulcomli

Description: Commutative law for multiplication. (Contributed by NM, 23-Nov-1994)

	Ref	Expression
Hypotheses	axi.1	$$⊢A\in ℂ$$
	axi.2	$$⊢B\in ℂ$$
	mulcomli.3	$$⊢AB=C$$
Assertion	mulcomli	$$⊢BA=C$$

Proof

Step	Hyp	Ref	Expression
1		axi.1	$$⊢A\in ℂ$$
2		axi.2	$$⊢B\in ℂ$$
3		mulcomli.3	$$⊢AB=C$$
4	2 1	mulcomi	$$⊢BA=AB$$
5	4 3	eqtri	$$⊢BA=C$$