Theorem 0tie0

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

	Ref	Expression
Assertion	0tie0	⊢ ( 0 · i ) = 0

Proof

Step	Hyp	Ref	Expression
1		ax-icn	⊢ i ∈ ℂ
2		0cn	⊢ 0 ∈ ℂ
3		it0e0	⊢ ( i · 0 ) = 0
4	1 2 3	mulcomli	⊢ ( 0 · i ) = 0