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formal statement (Lean)
54noncomputable def rsKernelParams (tau0 : ℝ) (h : 0 < tau0) : KernelParams := {
proof body
Definition body.
55 alpha := alphaLock,
56 C := phi ^ (-(3 : ℝ) / 2),
57 tau0 := tau0,
58 tau0_pos := h,
59 alpha_nonneg := le_of_lt alphaLock_pos,
60 C_nonneg := le_of_lt (Real.rpow_pos_of_pos phi_pos _)
61}
62
63/-- Eight-tick aligned kernel parameters with c = 49/162. -/
used by (3)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (15)
Lean names referenced from this declaration's body.
-
tau0
in IndisputableMonolith.Compat.Constants
decl_use
-
tau0_pos
in IndisputableMonolith.Compat.Constants
decl_use
-
alphaLock
in IndisputableMonolith.Constants
decl_use
-
alphaLock_pos
in IndisputableMonolith.Constants
decl_use
-
tau0
in IndisputableMonolith.Constants
decl_use
-
tau0_pos
in IndisputableMonolith.Constants
decl_use
-
tick
in IndisputableMonolith.Constants
decl_use
-
alpha
in IndisputableMonolith.Constants.Alpha
decl_use
-
tau0
in IndisputableMonolith.Constants.Derivation
decl_use
-
tau0_pos
in IndisputableMonolith.Constants.Derivation
decl_use
-
alphaLock_pos
in IndisputableMonolith.Constants.FineStructureConstant
decl_use
-
tick
in IndisputableMonolith.Constants.RSNativeUnits
decl_use
-
kernel
in IndisputableMonolith.Cosmology.BITKernelFamilies
decl_use
-
kernel
in IndisputableMonolith.ILG.Kernel
decl_use
-
KernelParams
in IndisputableMonolith.ILG.Kernel
decl_use