Definitions
,
Results
,
Conjectures
▾
Set of symbols
▾
Alphabet
▾
Deduction system
▾
Theory
▾
Zermelo-Fraenkel set theory
▾
Set
▾
Subset
▾
Power set
▾
Hyperpower set sequence
▾
Hyperpower set
▾
Hypersubset
▾
Subset algebra
▾
Subset structure
Top subset structure of natural numbers
Formulation 0
An
D548: Ordered pair
$M = (\mathbb{N}, \mathcal{P}(\mathbb{N}))$ is the
top subset structure 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 $\mathbb{N}$