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formal statement (Lean)
236def sopfr (n : ℕ) : ℕ := n.factorization.sum fun p k => k * p
proof body
Definition body.
237
238/-- The reciprocal-sum-of-prime-factors `Σ k/p` as a real number. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
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omega
in IndisputableMonolith.NumberTheory.PrimeCostSpectrum
decl_use
depends on (8)
Lean names referenced from this declaration's body.
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reciprocal
in IndisputableMonolith.Algebra.CostAlgebra
decl_use
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of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
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of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
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reciprocal
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
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of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
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as
in IndisputableMonolith.Foundation.SimplicialLedger.ContinuumBridge
decl_use
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of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
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of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use