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Foundation /
Foundation.HamiltonianEmergence /
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formal statement (Lean)
49 structure SmallDeviationState (N : ℕ) where
50 deviations : Fin N → ℝ
51 small : ∀ i, |deviations i| ≤ 1 / 2
52
53 /-- The total J-cost of a small-deviation state is the sum of per-bond costs. -/
used by (6)
From the project-wide theorem graph. These declarations reference this one in their body.
embed
in IndisputableMonolith.Foundation.HamiltonianEmergence
decl_use
embed_norm_sq
in IndisputableMonolith.Foundation.HamiltonianEmergence
decl_use
H_HamiltonianIsGenerator
in IndisputableMonolith.Foundation.HamiltonianEmergence
decl_use
quadraticEnergy
in IndisputableMonolith.Foundation.HamiltonianEmergence
decl_use
totalJcost
in IndisputableMonolith.Foundation.HamiltonianEmergence
decl_use
totalJcost_approx_quadratic
in IndisputableMonolith.Foundation.HamiltonianEmergence
decl_use
depends on (13)
Lean names referenced from this declaration's body.
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
decl_use
cost
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
total
in IndisputableMonolith.NavierStokes.DiscreteVorticity
decl_use
total
in IndisputableMonolith.NumberTheory.RiemannHypothesis.ErrorBudget
decl_use