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formal statement (Lean)
105theorem fromSubsetSum_totalJCost_zero {n : ℕ} (weight : Fin n → ℤ) (target : ℤ)
106 (S : Finset (Fin n)) :
107 totalJCost (fromSubsetSum weight target) ⟨S⟩ = 0 := by
proof body
Term-mode proof.
108 simp [totalJCost, rungCost, fromSubsetSum, Cost.Jcost_unit0]
109
110/-- Any ordinary subset-sum solution gives a degenerate BJSS solution. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (9)
Lean names referenced from this declaration's body.
-
Jcost_unit0
in IndisputableMonolith.Cost
decl_use
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Jcost_unit0
in IndisputableMonolith.Cost.JcostCore
decl_use
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fromSubsetSum
in IndisputableMonolith.Cryptography.BalancedJSubsetSum
decl_use
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rungCost
in IndisputableMonolith.Cryptography.BalancedJSubsetSum
decl_use
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totalJCost
in IndisputableMonolith.Cryptography.BalancedJSubsetSum
decl_use
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totalJCost
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
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totalJCost
in IndisputableMonolith.Information.ShannonEntropy
decl_use
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Cost
in IndisputableMonolith.Measurement.RSNative.Core
decl_use
-
S
in IndisputableMonolith.Relativity.ILG.Action
decl_use