Database
REAL AND COMPLEX NUMBERS
Integer sets
Integers (as a subset of complex numbers)
nn0z
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nnzi
Metamath Proof Explorer
Ascii
Structured
Theorem
nn0z
Description:
A nonnegative integer is an integer.
(Contributed by
NM
, 9-May-2004)
Ref
Expression
Assertion
nn0z
⊢
(
𝑁
∈ ℕ
0
→
𝑁
∈ ℤ )
Proof
Step
Hyp
Ref
Expression
1
nn0ssz
⊢
ℕ
0
⊆ ℤ
2
1
sseli
⊢
(
𝑁
∈ ℕ
0
→
𝑁
∈ ℤ )