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Exact global Y/Z certificate: certificate

Definition
mme_released_global_yz_certificate

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

matrix-multiplicationmore-asymmetrynumerical-certificate

One component of the exact six-orientation Y/Z certificate: word enumeration and cached integer counts, finite entropy expressions, or outward-rounded logarithm intervals. All numerical data are connected to the published profile by the accompanying full proofs. Tables are split by orientation to fit publication and compilation limits.

Definition code
import Definitions.Def_mme_released_global_yz_logs_0
import Definitions.Def_mme_released_global_yz_logs_1
import Definitions.Def_mme_released_global_yz_logs_2
import Definitions.Def_mme_released_global_yz_logs_3
import Definitions.Def_mme_released_global_yz_logs_4
import Definitions.Def_mme_released_global_yz_logs_5
open BigOperators MME MME.ReleasedGlobal MME.MoreAsymmetryExactSeed
set_option autoImplicit false
set_option maxRecDepth 100000
set_option maxHeartbeats 16000000
namespace MME.ReleasedGlobalYZ

def entries : Fin 6 → Fin 2 → List Entry := ![entriesOwner0,entriesOwner1,entriesOwner2,entriesOwner3,entriesOwner4,entriesOwner5]

def entryBound (e : Entry) : ℚ := e.1.1 * (if 0 ≤ e.1.1 then e.2.2.1 else e.2.2.2)
def totalBound (o : Fin 6) (i : Fin 2) : ℚ := ((entries o i).map entryBound).sum

end MME.ReleasedGlobalYZ
Source
Exact released global candidate from primitive seed f8187420c24231b83d9d1fb7b327fee76cd50ada0af0525e77b3d3b0d8f4d4e6.

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