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Metamath Proof Explorer

Theorem 2muline0

Description: ( 2 x. _i ) =/= 0 . (Contributed by David A. Wheeler, 8-Dec-2018)

Ref Expression
Assertion 2muline0 ( 2 · i ) ≠ 0

Proof

Step Hyp Ref Expression
1 2cn ⊢ 2 ∈ ℂ
2 ax-icn ⊢ i ∈ ℂ
3 2ne0 ⊢ 2 ≠ 0
4 ine0 ⊢ i ≠ 0
5 1 2 3 4 mulne0i ⊢ ( 2 · i ) ≠ 0