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formal statement (Lean)
186theorem sigma_one_apply {n : ℕ} : sigma 1 n = ∑ d ∈ n.divisors, d := by
proof body
Term-mode proof.
187 simp only [sigma, ArithmeticFunction.sigma_one_apply]
188
189/-- σ_k is multiplicative. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
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sigma_one_prime
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
depends on (7)
Lean names referenced from this declaration's body.
-
multiplicative
in IndisputableMonolith.Algebra.CostAlgebra
decl_use
-
sigma
in IndisputableMonolith.Decision.AbileneParadox
decl_use
-
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
-
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
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sigma
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use