recognition /
Algebra /
Algebra.RecognitionCategory /
explainer
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formal statement (Lean)
321 structure CostAlgPlusObj where
322 κ : ℝ
323 κ_pos : 0 < κ
324
325 /-- The cost attached to an object of `CostAlg⁺`. -/
326 noncomputable def CostAlgPlusObj.cost (C : CostAlgPlusObj) : ℝ → ℝ :=
proof body
Definition body.
327 costFamily C.κ
328
329 /-- Morphisms in `CostAlg⁺` are the positive exponents `α > 0` satisfying
330 the parameter relation `α κ₂ = κ₁`. This is the paper's
331 order-preserving morphism classification. -/
used by (15)
From the project-wide theorem graph. These declarations reference this one in their body.
CostAlgPlusHom
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
CostAlgPlusHom
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
CostAlgPlusHom
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
CostAlgPlusHom
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
CostAlgPlusHom
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
CostAlgPlusHom
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
CostAlgPlusHom
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
CostAlgPlusHom
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
CostAlgPlusHom
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
CostAlgPlusHom
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
CostAlgPlusHom
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
CostAlgPlusHom
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
CostAlgPlusHom
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
costAlgPlusInitial
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
costAlgPlus_initiality
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
depends on (14)
Lean names referenced from this declaration's body.
costFamily
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
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of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
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cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
decl_use
cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
decl_use
cost
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
cost
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
of
in IndisputableMonolith.Foundation.PhiForcingDerived
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
of
in IndisputableMonolith.Foundation.SpectralEmergence
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
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of
in IndisputableMonolith.Information.PhysicsComplexityStructure
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
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