Definitions
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Results
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Conjectures
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Set of symbols
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Alphabet
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Deduction system
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Theory
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Zermelo-Fraenkel set theory
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Set
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Collection of sets
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Set union
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Successor set
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Inductive set
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Set of inductive sets
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Set of natural numbers
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Set of integers
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Set of rational numbers
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Set of euclidean rational numbers
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Set of euclidean integers
Set of euclidean natural numbers
Formulation 0
Let $\mathbb{N}$ be the
D225: Set of natural numbers
.
The
set of euclidean natural numbers
with respect to $N \in \{ 1, 2, 3, \ldots \}$ is the
D11: Set
\begin{equation} \mathbb{N}^N = \prod_{n = 1}^N \mathbb{N} \end{equation}
Child definitions
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D5969: Set of euclidean boolean numbers
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D5928: Set of RGB colors