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formal statement (Lean)
211theorem jcost_complexity_gap (x : ℝ) (hx : x > 0) (hne : x ≠ 1) :
212 Jcost x > Jcost 1 := by
proof body
Term-mode proof.
213 rw [Cost.Jcost_unit0]
214 exact jcost_pos_away_from_one x hx hne
215
216/-! ## V. The RS Complexity Classification -/
217
218/-- Summary of RS complexity classes. -/
depends on (13)
Lean names referenced from this declaration's body.
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of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
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V
in IndisputableMonolith.Cosmology.InflatonPotentialFromJCost
decl_use
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Jcost_unit0
in IndisputableMonolith.Cost
decl_use
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Jcost_unit0
in IndisputableMonolith.Cost.JcostCore
decl_use
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of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
-
jcost_pos_away_from_one
in IndisputableMonolith.Foundation.JCostGeometry
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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V
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
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jcost_pos_away_from_one
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
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of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
-
Cost
in IndisputableMonolith.Measurement.RSNative.Core
decl_use
-
V
in IndisputableMonolith.RRF.Core.Glossary
decl_use