theorem proved term proof

`zeta_isMultiplicative`

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

formal statement (Lean)

 231theorem zeta_isMultiplicative : ArithmeticFunction.IsMultiplicative zeta := by

proof body

Term-mode proof.

 232  simp only [zeta]
 233  exact ArithmeticFunction.isMultiplicative_zeta
 234
 235/-! ### Möbius inversion fundamentals -/
 236
 237/-- The key identity: μ * ζ = ε (the Dirichlet identity).
 238This is the foundation of Möbius inversion. -/

depends on (12)

Lean names referenced from this declaration's body.

of in IndisputableMonolith.Astrophysics.NucleosynthesisTiers decl_use
of in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization decl_use
identity in IndisputableMonolith.Foundation.ObserverForcing decl_use
is in IndisputableMonolith.Foundation.OptionAEmpiricalProgram decl_use
of in IndisputableMonolith.Foundation.PhiForcingDerived decl_use
is in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi decl_use
of in IndisputableMonolith.Foundation.SpectralEmergence decl_use
is in IndisputableMonolith.GameTheory.MechanismDesignFromSigma decl_use
of in IndisputableMonolith.Information.PhysicsComplexityStructure decl_use
is in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom decl_use
zeta in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions decl_use
identity in IndisputableMonolith.RRF.Foundation.VantageCategory decl_use