Database
REAL AND COMPLEX NUMBERS
Integer sets
Positive integers (as a subset of complex numbers)
nnrei
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nncni
Metamath Proof Explorer
Ascii
Unicode
Theorem
nnrei
Description:
A positive integer is a real number.
(Contributed by
NM
, 18-Aug-1999)
Ref
Expression
Hypothesis
nnre.1
⊢
A
∈
ℕ
Assertion
nnrei
⊢
A
∈
ℝ
Proof
Step
Hyp
Ref
Expression
1
nnre.1
⊢
A
∈
ℕ
2
nnre
⊢
A
∈
ℕ
→
A
∈
ℝ
3
1
2
ax-mp
⊢
A
∈
ℝ