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formal statement (Lean)
189theorem decoherence_from_BIT_one_statement :
190 -- (1) Carrier in band.
191 ((7.5 : ℝ) < omega_BIT ∧ omega_BIT < 8.1) ∧
192 -- (2) `T₂` strictly decreasing in Z-rung.
193 (∀ T2_0 k, 0 < T2_0 →
194 T2_substrate T2_0 (k + 1) < T2_substrate T2_0 k) ∧
195 -- (3) Cross-class ratio is a φ-power.
196 (∀ T2_0 k_a k_b, 0 < T2_0 → k_a ≤ k_b →
197 T2_substrate T2_0 k_a / T2_substrate T2_0 k_b = Constants.phi ^ (k_b - k_a)) :=
proof body
Term-mode proof.
198 ⟨omega_BIT_band, T2_substrate_strictly_decreasing, T2_ratio_is_phi_power⟩
199
200end
201
202end DecoherenceFromBIT
203end QuantumComputing
204end IndisputableMonolith
depends on (19)
Lean names referenced from this declaration's body.
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rung
in IndisputableMonolith.Compat.Constants
decl_use
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power
in IndisputableMonolith.Cosmology.PrimordialSpectrum
decl_use
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Constants
in IndisputableMonolith.CPM.LawOfExistence
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rung
in IndisputableMonolith.Engineering.AsteroidOreSpectroscopy
decl_use
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
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band
in IndisputableMonolith.Foundation.PreLogicalCost
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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Z
in IndisputableMonolith.Masses.Anchor
decl_use
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rung
in IndisputableMonolith.Masses.AnchorPolicy
decl_use
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rung
in IndisputableMonolith.Masses.RSBridge.Anchor
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
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Z
in IndisputableMonolith.Physics.AnchorPolicyCertified
decl_use
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omega_BIT
in IndisputableMonolith.QuantumComputing.DecoherenceFromBIT
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omega_BIT_band
in IndisputableMonolith.QuantumComputing.DecoherenceFromBIT
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T2_ratio_is_phi_power
in IndisputableMonolith.QuantumComputing.DecoherenceFromBIT
decl_use
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T2_substrate
in IndisputableMonolith.QuantumComputing.DecoherenceFromBIT
decl_use
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T2_substrate_strictly_decreasing
in IndisputableMonolith.QuantumComputing.DecoherenceFromBIT
decl_use
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rung
in IndisputableMonolith.RSBridge.Anchor
decl_use