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Discrete measurable space
Standard measurable space of natural numbers
Formulation 1
An
D548: Ordered pair
$M = (\mathbb{N}, \mathcal{P}(\mathbb{N}))$ is the
standard measurable space of natural numbers
if and only if
(1)
$\mathbb{N}$ is the
D225: Set of natural numbers
(2)
$\mathcal{P}(\mathbb{N})$ is a
D80: Power set
for $\mathbb{N}$