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formal statement (Lean)
176structure CompactResolvent (lamP : Nat.Primes → ℝ) : Prop where
177 weights_decay : ∃ ε : ℝ, 0 < ε ∧ WeightDecayPolynomial lamP ε
178 cost_growth : CostPotentialLinearGrowth
179 -- The actual statement: the resolvent (T_J - z)^{-1} is compact.
180 -- Stated as a Prop awaiting the analytic discharge.
181 compact_resolvent_holds : True
182
183/-- Sub-conjecture C.3: trace-class membership of $e^{-tT_J}$
184 on $\mathcal{H}_-$, given the regularity hypotheses. -/
used by (3)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (15)
Lean names referenced from this declaration's body.
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H
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of
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H
in IndisputableMonolith.Cost.FunctionalEquation
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in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
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of
in IndisputableMonolith.Foundation.PhiForcingDerived
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as
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
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of
in IndisputableMonolith.Foundation.SpectralEmergence
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is
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CostPotentialLinearGrowth
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WeightDecayPolynomial
in IndisputableMonolith.NumberTheory.CostOperatorRegularity
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Primes
in IndisputableMonolith.NumberTheory.EulerInstantiation
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