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formal statement (Lean)
112theorem amplitude_bounded_of_cancellation
113 (a_gauge a_scalar v : ℝ)
114 (hC : CancellationCondition a_gauge a_scalar) :
115 ∃ M : ℝ, ∀ s : ℝ, |amplitudeS2 a_gauge a_scalar v s| ≤ M := by
proof body
Term-mode proof.
116 refine ⟨0, ?_⟩
117 intro s
118 rw [amplitude_vanishes_under_cancellation a_gauge a_scalar v s hC]
119 simp
120
121/-! ## §3. SM-Normalisation Hypothesis -/
122
123/-- Standard-Model normalisation hypothesis for longitudinal-VV scattering:
124 in the canonical SM, the scalar-exchange residue exactly cancels the
125 gauge-exchange residue. -/
depends on (12)
Lean names referenced from this declaration's body.
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Hypothesis
in IndisputableMonolith.ClassicalBridge.Fluids.CPM2D
decl_use
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Model
in IndisputableMonolith.CPM.LawOfExistence
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canonical
in IndisputableMonolith.Foundation.ArithmeticOf
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for
in IndisputableMonolith.Foundation.UniversalForcingSelfReference
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canonical
in IndisputableMonolith.Gap45.Beat
decl_use
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cancels
in IndisputableMonolith.Masses.Ribbons
decl_use
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canonical
in IndisputableMonolith.NavierStokes.RM2U.NonParasitism
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M
in IndisputableMonolith.Recognition
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M
in IndisputableMonolith.Recognition.Cycle3
decl_use
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amplitudeS2
in IndisputableMonolith.StandardModel.LongitudinalVectorScattering
decl_use
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amplitude_vanishes_under_cancellation
in IndisputableMonolith.StandardModel.LongitudinalVectorScattering
decl_use
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CancellationCondition
in IndisputableMonolith.StandardModel.LongitudinalVectorScattering
decl_use