Certified logarithm intervals for all twelve global Y/Z rates

import Definitions.Def_mme_released_global_yz_certificate
import Definitions.Def_mme_released_global_frame_data
import Definitions.Def_mme_global_CW_joint_start_data
open BigOperators MME MME.TensorObj MME.ProfiledCW MME.ReleasedGlobal MME.ReleasedGlobalNumeric MME.ReleasedGlobalYZ MME.MoreAsymmetryExactSeed MME.RegionRate MME.RecursiveThinSplit MME.GlobalCW MME.RecursiveYZ
open scoped Classical
set_option autoImplicit false
set_option maxRecDepth 3000
universe u

theorem mme_released_global_yz_log_intervals (o : Fin 6) (i : Fin 2) (e : Entry) (he : e ∈ entries o i) :
    (e.2.2.1 : ℝ) ≤ Real.log (e.1.2 : ℝ) ∧
      Real.log (e.1.2 : ℝ) ≤ (e.2.2.2 : ℝ) := by
  sorry