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formal statement (Lean)
79theorem jcost_squared_form {x : ℝ} (hx : x ≠ 0) :
80 Jcost x = (x - 1) ^ 2 / (2 * x) := Jcost_eq_sq hx
proof body
Term-mode proof.
81
82/-! ## §2. Zero characterization and ratio interpretation -/
83
84/-- **F1.2.1**: J(v/n) = 0 ↔ v = n for v, n > 0 -/
used by (7)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (6)
Lean names referenced from this declaration's body.
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Jcost_eq_sq
in IndisputableMonolith.Cost
decl_use
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Jcost_eq_sq
in IndisputableMonolith.Cost.JcostCore
decl_use
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jcost_squared_form
in IndisputableMonolith.CrossDomain.JConvexityUniversality
decl_use
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for
in IndisputableMonolith.Foundation.UniversalForcingSelfReference
decl_use
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jcost_squared_form
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
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and
in IndisputableMonolith.NumberTheory.CirclePhaseLift
decl_use