Database
REAL AND COMPLEX NUMBERS
Derive the basic properties from the field axioms
Some deductions from the field axioms for complex numbers
0cnd
Next ⟩
c0ex
Metamath Proof Explorer
Ascii
Structured
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 )