Database
REAL AND COMPLEX NUMBERS
Integer sets
Nonnegative integers (as a subset of complex numbers)
nn0rei
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nn0cni
Metamath Proof Explorer
Ascii
Structured
Theorem
nn0rei
Description:
A nonnegative integer is a real number.
(Contributed by
NM
, 14-May-2003)
Ref
Expression
Hypothesis
nn0rei.1
⊢
𝐴
∈ ℕ
0
Assertion
nn0rei
⊢
𝐴
∈ ℝ
Proof
Step
Hyp
Ref
Expression
1
nn0rei.1
⊢
𝐴
∈ ℕ
0
2
nn0ssre
⊢
ℕ
0
⊆ ℝ
3
2
1
sselii
⊢
𝐴
∈ ℝ