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formal statement (Lean)
105theorem dJdt_eq_viscous_plus_stretching {siteCount : ℕ} (e : EvolutionIdentity siteCount)
106 (htransport : totalTransport e.contributions = 0) :
107 e.dJdt = totalViscous e.contributions + totalStretching e.contributions := by
proof body
Term-mode proof.
108 rw [e.split, htransport, zero_add]
109
110/-- If stretching is absorbed by viscosity, then the total derivative is nonpositive. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (11)
Lean names referenced from this declaration's body.
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zero_add
in IndisputableMonolith.Foundation.ArithmeticFromLogic
decl_use
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
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EvolutionIdentity
in IndisputableMonolith.NavierStokes.DiscreteVorticity
decl_use
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total
in IndisputableMonolith.NavierStokes.DiscreteVorticity
decl_use
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totalStretching
in IndisputableMonolith.NavierStokes.DiscreteVorticity
decl_use
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totalTransport
in IndisputableMonolith.NavierStokes.DiscreteVorticity
decl_use
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totalViscous
in IndisputableMonolith.NavierStokes.DiscreteVorticity
decl_use
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total
in IndisputableMonolith.NumberTheory.RiemannHypothesis.ErrorBudget
decl_use