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formal statement (Lean)
132theorem dAlembert_to_ODE_hypothesis_of_contDiff
133 (Hf : ℝ → ℝ) (h_diff : ContDiff ℝ 2 Hf) :
134 dAlembert_to_ODE_hypothesis Hf := by
proof body
Term-mode proof.
135 intro _ _ h_dAlembert h_deriv2_zero
136 exact dAlembert_to_ODE_of_contDiff Hf h_dAlembert h_diff h_deriv2_zero
137
138/-- A normalized composition-law cost is automatically reciprocal. -/
depends on (14)
Lean names referenced from this declaration's body.
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reciprocal
in IndisputableMonolith.Algebra.CostAlgebra
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dAlembert_to_ODE_of_contDiff
in IndisputableMonolith.Cost.ContDiffReduction
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dAlembert_to_ODE_hypothesis
in IndisputableMonolith.Cost.FunctionalEquation
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A
in IndisputableMonolith.Foundation.IntegrationGap
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reciprocal
in IndisputableMonolith.Foundation.LedgerForcing
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cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
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cost
in IndisputableMonolith.Foundation.ObserverForcing
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
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A
in IndisputableMonolith.Masses.Anchor
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
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A
in IndisputableMonolith.Modal.Actualization
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normalized
in IndisputableMonolith.NavierStokes.RunningMaxNormalization
decl_use