Database
REAL AND COMPLEX NUMBERS
Integer sets
Rational numbers (as a subset of complex numbers)
qcn
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Metamath Proof Explorer
Ascii
Structured
Theorem
qcn
Description:
A rational number is a complex number.
(Contributed by
NM
, 2-Aug-2004)
Ref
Expression
Assertion
qcn
⊢
(
𝐴
∈ ℚ →
𝐴
∈ ℂ )
Proof
Step
Hyp
Ref
Expression
1
qsscn
⊢
ℚ ⊆ ℂ
2
1
sseli
⊢
(
𝐴
∈ ℚ →
𝐴
∈ ℂ )