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formal statement (Lean)
44theorem phi5_eq : phi ^ 5 = 5 * phi + 3 := by
proof body
Tactic-mode proof.
45 have h2 := phi_sq_eq
46 have h3 : phi ^ 3 = 2 * phi + 1 := by nlinarith
47 have h4 : phi ^ 4 = 3 * phi + 2 := by nlinarith
48 nlinarith
49
used by (14)
From the project-wide theorem graph. These declarations reference this one in their body.
-
darkEnergyEoSDepthCert
in IndisputableMonolith.Cosmology.DarkEnergyEquationOfStateDepth
decl_use
-
deltaBound_small
in IndisputableMonolith.Cosmology.DarkEnergyEquationOfStateDepth
decl_use
-
phi5_eq
in IndisputableMonolith.Cosmology.DarkEnergyEquationOfStateDepth
decl_use
-
hubbleTensionCert
in IndisputableMonolith.Cosmology.HubbleTensionPipelineFromZAging
decl_use
-
phi5_eq
in IndisputableMonolith.Cosmology.HubbleTensionPipelineFromZAging
decl_use
-
phi5_gt
in IndisputableMonolith.Cosmology.HubbleTensionPipelineFromZAging
decl_use
-
phi5_lt
in IndisputableMonolith.Cosmology.HubbleTensionPipelineFromZAging
decl_use
-
inflatonCert
in IndisputableMonolith.Cosmology.InflatonPotentialStructural
decl_use
-
lambdaRS_band
in IndisputableMonolith.Cosmology.OmegaLambdaBITKernelBand
decl_use
-
omegaLambdaBandCert
in IndisputableMonolith.Cosmology.OmegaLambdaBITKernelBand
decl_use
-
phi5_eq
in IndisputableMonolith.Cosmology.OmegaLambdaBITKernelBand
decl_use
-
cosmologicalConstantCert
in IndisputableMonolith.Physics.CosmologicalConstantFromRS
decl_use
-
lambdaRS_band
in IndisputableMonolith.Physics.CosmologicalConstantFromRS
decl_use
-
phi5_eq
in IndisputableMonolith.Physics.CosmologicalConstantFromRS
decl_use
depends on (6)
Lean names referenced from this declaration's body.
-
phi_sq_eq
in IndisputableMonolith.Constants
decl_use
-
phi5_eq
in IndisputableMonolith.Cosmology.DarkEnergyEquationOfStateDepth
decl_use
-
phi5_eq
in IndisputableMonolith.Cosmology.HubbleTensionPipelineFromZAging
decl_use
-
phi5_eq
in IndisputableMonolith.Cosmology.OmegaLambdaBITKernelBand
decl_use
-
phi_sq_eq
in IndisputableMonolith.NumberTheory.PhiLadderLattice
decl_use
-
phi5_eq
in IndisputableMonolith.Physics.CosmologicalConstantFromRS
decl_use