lcm_fortyfive_eighthundredforty
plain-language theorem explainer
The equality lcm(45, 840) = 2520 is recorded as a verified numerical fact. Number theorists using arithmetic functions for concrete calculations would reference it when checking multiples in prime contexts. The proof is a direct one-line application of a native decision procedure that evaluates the equality by computation.
Claim. $lcm(45, 840) = 2520$
background
The module supplies lightweight wrappers around Mathlib arithmetic functions, beginning with the Möbius function μ. This result supplies a specific LCM value that can anchor calculations involving multiples. The local setting emphasizes basic interfaces before deeper Dirichlet algebra is added.
proof idea
The proof is a one-line wrapper that applies native_decide to confirm the numerical equality by direct evaluation.
why it matters
This supplies a concrete numerical anchor inside the arithmetic functions module. It supports the lightweight interface approach for Möbius and related functions by providing a verified constant. No parent theorems are listed in the dependency graph.
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