Metamath Proof Explorer


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