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formal statement (Lean)
69theorem JcostN_nonneg {n : ℕ} (α x : Vec n) : 0 ≤ JcostN α x := by
proof body
Term-mode proof.
70 rw [JcostN_eq_Jcost_aggregate]
71 exact Jcost_nonneg (aggregate_pos α x)
72
73/-- Log-aggregate of a componentwise product. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (15)
Lean names referenced from this declaration's body.
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of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
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Jcost_nonneg
in IndisputableMonolith.Cost
decl_use
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Jcost_nonneg
in IndisputableMonolith.Cost.JcostCore
decl_use
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aggregate
in IndisputableMonolith.Cost.Ndim.Core
decl_use
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aggregate_pos
in IndisputableMonolith.Cost.Ndim.Core
decl_use
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JcostN
in IndisputableMonolith.Cost.Ndim.Core
decl_use
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JcostN_eq_Jcost_aggregate
in IndisputableMonolith.Cost.Ndim.Core
decl_use
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Vec
in IndisputableMonolith.Cost.Ndim.Core
decl_use
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of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
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of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
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of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
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Jcost_nonneg
in IndisputableMonolith.Gravity.CoherenceCollapse
decl_use
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Jcost_nonneg
in IndisputableMonolith.Gravity.EnergyProcessingBridge
decl_use
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of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
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Jcost_nonneg
in IndisputableMonolith.NavierStokes.PhiLadderCutoff
decl_use