prime_twohundredtwentythree
plain-language theorem explainer
The natural number 223 is prime. Researchers constructing arithmetic functions such as the Möbius function in the Recognition Science number theory layer would cite this fact to anchor basic primality checks. The verification is a direct term-level invocation of the native decision procedure on the standard primality predicate.
Claim. $223$ is a prime natural number.
background
The module supplies lightweight wrappers around Mathlib arithmetic functions, beginning with the Möbius function μ. The local alias for the primality predicate is the standard definition on natural numbers. Upstream results supply foundational structures that guarantee algebraic consistency and collision-free properties across related modules.
proof idea
This is a term proof consisting of a one-line wrapper that applies the native decision procedure to confirm primality of 223.
why it matters
This supplies a verified primality instance supporting arithmetic functions such as the Möbius function in the module. It contributes a basic fact to the NumberTheory domain of the Recognition framework, consistent with the overall derivation from a single functional equation, though it does not invoke the forcing chain, phi-ladder, or RCL directly. No immediate parent theorems appear in the usage graph.
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