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2muline0
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Simple number properties
Metamath Proof Explorer
Ascii
Structured
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