two_pow_seven
plain-language theorem explainer
Two to the seventh power equals 128 in the natural numbers. Number theorists may cite this for verifying small powers during arithmetic function calculations. The proof uses a native decision procedure for direct evaluation.
Claim. $2^7 = 128$
background
The module supplies lightweight wrappers around Mathlib's arithmetic function library, beginning with the Möbius function and related squarefree checks. This theorem sits as an isolated numerical fact within that setting, independent of the Möbius definitions or Dirichlet inversion steps described in the module documentation.
proof idea
The proof is a one-line wrapper applying the native_decide tactic to evaluate the power expression directly.
why it matters
This equality supplies a verified constant inside the NumberTheory.Primes.ArithmeticFunctions module. It fills no parent theorem from downstream results and touches none of the Recognition Science forcing chain steps or phi-ladder constructions.
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