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formal statement (Lean)
189structure TidalLockingFromPhiResonanceCert where
190 moon_resonance_eq : moon_resonance_pq = 1
191 moon_J_cost_zero : Cost.Jcost moon_resonance_pq = 0
192 mercury_resonance_eq : mercury_resonance_pq = 3 / 2
193 mercury_deviation_in_J_phi_band :
194 0.11 < phi - mercury_resonance_pq ∧
195 phi - mercury_resonance_pq < 0.13
196 venus_resonance_eq : venus_resonance_pq = 4
197 phi_cubed_eq : phi_cubed = 2 * phi + 1
198 phi_cubed_band : 4.22 < phi_cubed ∧ phi_cubed < 4.24
199 J_phi_ceiling_band : 0.11 < J_phi_ceiling ∧ J_phi_ceiling < 0.13
200
201/-- The master certificate is inhabited. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (20)
Lean names referenced from this declaration's body.
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J_phi_ceiling
in IndisputableMonolith.Astrophysics.TidalLockingFromPhiResonance
decl_use
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J_phi_ceiling_band
in IndisputableMonolith.Astrophysics.TidalLockingFromPhiResonance
decl_use
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mercury_deviation_in_J_phi_band
in IndisputableMonolith.Astrophysics.TidalLockingFromPhiResonance
decl_use
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mercury_resonance_pq
in IndisputableMonolith.Astrophysics.TidalLockingFromPhiResonance
decl_use
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moon_J_cost_zero
in IndisputableMonolith.Astrophysics.TidalLockingFromPhiResonance
decl_use
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moon_resonance_eq
in IndisputableMonolith.Astrophysics.TidalLockingFromPhiResonance
decl_use
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moon_resonance_pq
in IndisputableMonolith.Astrophysics.TidalLockingFromPhiResonance
decl_use
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phi_cubed
in IndisputableMonolith.Astrophysics.TidalLockingFromPhiResonance
decl_use
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phi_cubed_band
in IndisputableMonolith.Astrophysics.TidalLockingFromPhiResonance
decl_use
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phi_cubed_eq
in IndisputableMonolith.Astrophysics.TidalLockingFromPhiResonance
decl_use
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venus_resonance_pq
in IndisputableMonolith.Astrophysics.TidalLockingFromPhiResonance
decl_use
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phi_cubed_eq
in IndisputableMonolith.Climate.AtmosphericLayeringFromPhiLadder
decl_use
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phi_cubed_eq
in IndisputableMonolith.Constants
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phi_cubed
in IndisputableMonolith.CrossDomain.FibonacciPhiUniversality
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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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
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Cost
in IndisputableMonolith.Measurement.RSNative.Core
decl_use
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phi_cubed_eq
in IndisputableMonolith.Numerics.Interval.PhiBounds
decl_use