Theorem 0tie0

Description: 0 times _i equals 0. (Contributed by SN, 25-Apr-2025)

	Ref	Expression
Assertion	0tie0	|- ( 0 x. _i ) = 0

Proof

Step	Hyp	Ref	Expression
1		ax-icn	|- _i e. CC
2		0cn	|- 0 e. CC
3		it0e0	|- ( _i x. 0 ) = 0
4	1 2 3	mulcomli	|- ( 0 x. _i ) = 0