Database
REAL AND COMPLEX NUMBERS
Derive the basic properties from the field axioms
Some deductions from the field axioms for complex numbers
0cnd
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c0ex
Metamath Proof Explorer
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Theorem
0cnd
Description:
Zero is a complex number, deduction form.
(Contributed by
David A. Wheeler
, 8-Dec-2018)
Ref
Expression
Assertion
0cnd
⊢
φ
→
0
∈
ℂ
Proof
Step
Hyp
Ref
Expression
1
0cn
⊢
0
∈
ℂ
2
1
a1i
⊢
φ
→
0
∈
ℂ