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formal statement (Lean)
242theorem structural_dominance {f : Fermion} (pr : PerturbativeResidue f)
243 (hlaw : geometricResidue f = coshEnhancement pr.value * pr.value) :
244 pr.value < geometricResidue f := by
proof body
Term-mode proof.
245 rw [hlaw]
246 have hS := enhancement_gt_one pr.value (ne_of_gt pr.positive)
247 have hv := pr.positive
248 nlinarith
249
250/-! ## §7. The Coupling Certificate -/
251
252/-- The coupling law certificate: packages the full bridge. -/
depends on (10)
Lean names referenced from this declaration's body.
-
bridge
in IndisputableMonolith.ClassicalBridge.Fluids.CPM2D
decl_use
-
Coupling
in IndisputableMonolith.Information.FEPBridgeFromJCost
decl_use
-
Fermion
in IndisputableMonolith.Masses.RSBridge.Anchor
decl_use
-
Fermion
in IndisputableMonolith.Masses.SMVerification
decl_use
-
value
in IndisputableMonolith.QFT.SpinStatistics
decl_use
-
Fermion
in IndisputableMonolith.RSBridge.Anchor
decl_use
-
coshEnhancement
in IndisputableMonolith.Unification.CouplingLaw
decl_use
-
enhancement_gt_one
in IndisputableMonolith.Unification.CouplingLaw
decl_use
-
geometricResidue
in IndisputableMonolith.Unification.CouplingLaw
decl_use
-
PerturbativeResidue
in IndisputableMonolith.Unification.CouplingLaw
decl_use