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formal statement (Lean)
182theorem sigma_zero_apply {n : ℕ} : sigma 0 n = n.divisors.card := by
proof body
Term-mode proof.
183 simp only [sigma, ArithmeticFunction.sigma_zero_apply]
184
185/-- σ_1(n) = sum of divisors of n. -/
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
-
sigma_zero_prime
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
sigma_zero_prime_pow
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
depends on (7)
Lean names referenced from this declaration's body.
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of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
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sigma
in IndisputableMonolith.Decision.AbileneParadox
decl_use
-
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
-
of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
-
of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
-
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
-
sigma
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use