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formal statement (Lean)
38theorem aczel_kernel_smooth [AczelSmoothnessPackage] (H : ℝ → ℝ) :
39 dAlembert_continuous_implies_smooth_hypothesis H :=
proof body
Term-mode proof.
40 (aczelRegularityKernel H).smooth
41
42/-- Convenience projection: the ODE kernel exported by the classification step. -/
depends on (10)
Lean names referenced from this declaration's body.
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H
in IndisputableMonolith.Algebra.CostAlgebra
decl_use
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step
in IndisputableMonolith.Complexity.CellularAutomata
decl_use
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kernel
in IndisputableMonolith.Cosmology.BITKernelFamilies
decl_use
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AczelSmoothnessPackage
in IndisputableMonolith.Cost.AczelClass
decl_use
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aczelRegularityKernel
in IndisputableMonolith.Cost.AczelClassification
decl_use
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smooth
in IndisputableMonolith.Cost.AczelProof
decl_use
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smooth
in IndisputableMonolith.Cost.AczelTheorem
decl_use
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dAlembert_continuous_implies_smooth_hypothesis
in IndisputableMonolith.Cost.FunctionalEquation
decl_use
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H
in IndisputableMonolith.Cost.FunctionalEquation
decl_use
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kernel
in IndisputableMonolith.ILG.Kernel
decl_use