Theorem mulcomli

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

	Ref	Expression
Hypotheses	axi.1	|- A e. CC
	axi.2	|- B e. CC
	mulcomli.3	|- ( A x. B ) = C
Assertion	mulcomli	|- ( B x. A ) = C

Proof

Step	Hyp	Ref	Expression
1		axi.1	|- A e. CC
2		axi.2	|- B e. CC
3		mulcomli.3	|- ( A x. B ) = C
4	2 1	mulcomi	|- ( B x. A ) = ( A x. B )
5	4 3	eqtri	|- ( B x. A ) = C