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formal statement (Lean)
129structure LogicalOperator (X : Ω → ℝ) where
130 /-- The operator as a function -/
131 op : Ω → Ω
132 /-- The operator preserves cost structure -/
133 preserves_cost : ∀ ω, Jcost (X (op ω)) = Jcost (X ω)
134
135/-- The identity is always a logical operator. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
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id_logical_op
in IndisputableMonolith.Thermodynamics.ErrorCorrection
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depends on (10)
Lean names referenced from this declaration's body.
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preserves_cost
in IndisputableMonolith.Algebra.CostAlgebra
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cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
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cost
in IndisputableMonolith.Foundation.ObserverForcing
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identity
in IndisputableMonolith.Foundation.ObserverForcing
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
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as
in IndisputableMonolith.Foundation.SimplicialLedger.ContinuumBridge
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
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identity
in IndisputableMonolith.RRF.Foundation.VantageCategory
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