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formal statement (Lean)
159structure CostAlgObjKappa where
160 κ : ℝ
161 κ_pos : 0 < κ
162
163/-- The cost attached to a full `κ`-parameter object. -/
164noncomputable def CostAlgObjKappa.cost (C : CostAlgObjKappa) : ℝ → ℝ :=
proof body
Definition body.
165 costFamily C.κ
166
167/-- Morphisms in the full paper-facing `CostAlg` category are power maps
168 `x ↦ x^α` with `ακ₂ = ±κ₁`. -/
used by (13)
From the project-wide theorem graph. These declarations reference this one in their body.
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CostAlgHomKappa
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
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CostAlgHomKappa
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
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CostAlgHomKappa
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
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CostAlgHomKappa
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
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CostAlgHomKappa
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
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CostAlgHomKappa
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
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CostAlgHomKappa
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
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CostAlgHomKappa
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
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CostAlgHomKappa
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
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CostAlgHomKappa
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
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CostAlgHomKappa
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
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CostAlgHomKappa
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
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costAlgKappaInitial
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
depends on (6)
Lean names referenced from this declaration's body.
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costFamily
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
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power
in IndisputableMonolith.Cosmology.PrimordialSpectrum
decl_use
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cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
decl_use
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cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
decl_use
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cost
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
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cost
in IndisputableMonolith.Foundation.ObserverForcing
decl_use