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formal statement (Lean)
209structure GDerivationChain where
210 step1_Q3_vertices : Q3_vertices = 8
211 step2_gauss_bonnet : Q3_vertices * angular_deficit_per_vertex = 2 * Real.pi * euler_S2
212 step3_J_curv_formula : ∀ λ, J_curv λ = 2 * λ ^ 2
213 step4_balance_unique : ∃! λ, λ > 0 ∧ J_curv λ = J_bit_normalized
214 step5_G_formula : Constants.G = (Constants.lambda_rec^2) * (Constants.c^3) / (Real.pi * Constants.hbar)
215 step6_kappa : Constants.kappa_einstein = 8 * Constants.phi ^ (5 : ℝ)
216
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (22)
Lean names referenced from this declaration's body.
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lambda_rec
in IndisputableMonolith.Bridge.DataCore
decl_use
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G
in IndisputableMonolith.Constants
decl_use
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hbar
in IndisputableMonolith.Constants
decl_use
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kappa_einstein
in IndisputableMonolith.Constants
decl_use
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lambda_rec
in IndisputableMonolith.Constants
decl_use
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Q3_vertices
in IndisputableMonolith.Constants.AlphaHigherOrder
decl_use
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G
in IndisputableMonolith.Constants.Codata
decl_use
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hbar
in IndisputableMonolith.Constants.Codata
decl_use
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angular_deficit_per_vertex
in IndisputableMonolith.Constants.LambdaRecDerivation
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euler_S2
in IndisputableMonolith.Constants.LambdaRecDerivation
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J_bit_normalized
in IndisputableMonolith.Constants.LambdaRecDerivation
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J_curv
in IndisputableMonolith.Constants.LambdaRecDerivation
decl_use
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Q3_vertices
in IndisputableMonolith.Constants.LambdaRecDerivation
decl_use
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J_curv
in IndisputableMonolith.Constants.PlanckScaleMatching
decl_use
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Q3_vertices
in IndisputableMonolith.Constants.PlanckScaleMatching
decl_use
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G
in IndisputableMonolith.Cost.FunctionalEquation
decl_use
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Constants
in IndisputableMonolith.CPM.LawOfExistence
decl_use
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Q3_vertices
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
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G
in IndisputableMonolith.Gravity.JCostInflaton
decl_use
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hbar
in IndisputableMonolith.Information.ComputationLimitsStructure
decl_use
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Q3_vertices
in IndisputableMonolith.Physics.CubeSpectrum
decl_use
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hbar
in IndisputableMonolith.Quantum.EntanglementEntropy
decl_use