Database
REAL AND COMPLEX NUMBERS
Integer sets
Nonnegative integers (as a subset of complex numbers)
nn0re
Next ⟩
nn0cn
Metamath Proof Explorer
Ascii
Structured
Theorem
nn0re
Description:
A nonnegative integer is a real number.
(Contributed by
NM
, 9-May-2004)
Ref
Expression
Assertion
nn0re
⊢
(
𝐴
∈ ℕ
_{0}
→
𝐴
∈ ℝ )
Proof
Step
Hyp
Ref
Expression
1
nn0ssre
⊢
ℕ
_{0}
⊆ ℝ
2
1
sseli
⊢
(
𝐴
∈ ℕ
_{0}
→
𝐴
∈ ℝ )