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Identify concrete global Y/Z rates with their exact signed-log certificates

Proved
mme_released_global_yz_entropy_bridge

by raresbuhai · Sep 22, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

entropymatrix-multiplicationmore-asymmetrynumerical-certificate

For each of six exact published profiles and each Y/Z branch, the signed-log certificate equals its actual coarse entropy plus word entropy minus compatibility entropy.

Preamble
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
Formal statement
theorem mme_released_global_yz_entropy_bridge (o : Fin 6) (i : Fin 2) :
    evaluate ((entries o i).map Prod.fst) =
      (profile o).coarse (yzMode i) 0 + (profile o).words (yzMode i) 0 - (profile o).compat i 0 := by
  sorry
Source
Numerical global rate of the exact published More Asymmetry candidate. This closes the Y/Z branches and full global rate; whole-interface recursive continuation and the final finite witness remain separate.

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