recognition /
NumberTheory /
NumberTheory.HilbertPolyaCandidate /
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formal statement (Lean)
224 def primeHop (p : Nat.Primes) : StateSpace →ₗ[ℝ] StateSpace :=
proof body
Definition body.
225 shiftOp p + shiftInvOp p
226
227 /-- The reciprocal involution maps `V_p + V_p^{-1}` to itself
228 (consequence of intertwining shift and inverse shift). -/
used by (3)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (12)
Lean names referenced from this declaration's body.
reciprocal
in IndisputableMonolith.Algebra.CostAlgebra
decl_use
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
reciprocal
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
and
in IndisputableMonolith.NumberTheory.CirclePhaseLift
decl_use
Primes
in IndisputableMonolith.NumberTheory.EulerInstantiation
decl_use
shiftInvOp
in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate
decl_use
shiftOp
in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate
decl_use
StateSpace
in IndisputableMonolith.NumberTheory.HilbertPolyaCandidate
decl_use