pith. sign in
theorem

two_pow_twelve

proved
show as:
module
IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
domain
NumberTheory
line
1800 · github
papers citing
none yet

plain-language theorem explainer

The equality 2^12 = 4096 holds in the natural numbers. Number theorists may cite it as a fixed computational anchor when handling exponents inside arithmetic function identities. The proof is a one-line term that invokes native_decide to evaluate the power directly.

Claim. $2^{12} = 4096$

background

The module supplies lightweight wrappers around Mathlib arithmetic functions, beginning with the Möbius function μ. This declaration records a concrete power identity that can serve as a numerical constant in exponent calculations. No upstream lemmas are referenced; the result stands alone via direct computation.

proof idea

The proof is a one-line wrapper that applies the native_decide tactic to evaluate the power expression directly.

why it matters

It supplies a verified numerical constant for potential anchoring of exponent calculations inside the arithmetic functions section. No parent theorems or downstream uses are recorded in the current dependency graph. The result fills a basic computational slot without touching the Möbius or squarefree machinery defined nearby.

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