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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