def definition def or abbrev

`candidateOp`

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

formal statement (Lean)

 243def candidateOp (S : Finset Nat.Primes) (lam : Nat.Primes → ℝ) :
 244    StateSpace →ₗ[ℝ] StateSpace :=

proof body

Definition body.

 245  diagOp + S.sum (fun p => lam p • primeHop p)
 246
 247/-- Auxiliary: involution commutes with weighted sum of `primeHop` over a finset.
 248    Proved by induction on the finset. -/

used by (2)

From the project-wide theorem graph. These declarations reference this one in their body.

hilbert_polya_candidate_certificate in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate decl_use
involutionOp_candidateOp in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate decl_use

depends on (10)

Lean names referenced from this declaration's body.

of in IndisputableMonolith.Astrophysics.NucleosynthesisTiers 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
Primes in IndisputableMonolith.NumberTheory.EulerInstantiation decl_use
diagOp in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate decl_use
primeHop in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate decl_use
StateSpace in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate decl_use
S in IndisputableMonolith.Relativity.ILG.Action decl_use