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formal statement (Lean)
313theorem defectDist_self (x : ℝ) (hx : 0 < x) : defectDist x x = 0 := by
proof body
Term-mode proof.
314 unfold defectDist
315 rw [div_self (ne_of_gt hx)]
316 exact J_at_one
317
318/-- **PROVED: Defect distance is symmetric.** -/
depends on (10)
Lean names referenced from this declaration's body.
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defectDist
in IndisputableMonolith.Algebra.CostAlgebra
decl_use
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J_at_one
in IndisputableMonolith.Algebra.CostAlgebra
decl_use
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Defect
in IndisputableMonolith.CPM.LNALBridge
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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J_at_one
in IndisputableMonolith.Masses.BaselineDerivation
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
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J_at_one
in IndisputableMonolith.Modal.Possibility
decl_use
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J_at_one
in IndisputableMonolith.QFT.HiggsMechanism
decl_use