Level-one boundary end with dimensions 25 over True

Proved

mme_entropy_regional_boundary_1L2_true

by Tamas Fulop · Sep 18, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

matrix-multiplicationmore-asymmetryregional-entropy

There is a level-one boundary end on two positions over the trivial predicate with dimension product $25$ .

A single cell and single part carrying the level-one dims- $25$ profile gives $1\cdot 1\cdot 25$ . Over the trivial predicate the inside obligation is immediate. This is the boundary side both open leaves need at the levels that occur.

Formalization Note Assembles the proved level-one profile; the packaging computation mirrors the level-two lemma.

Preamble

import Definitions.Def_mme_recursive_profiled_CW_data
import Definitions.Def_mme_recursive_yz_boundary_data
set_option autoImplicit false

Formal statement

theorem mme_entropy_regional_boundary_1L2_true : exists (B : MME.ProfiledCW.BoundaryEnd 1 2 (fun _ _ => True)), B.a * B.b * B.c = 25 /\ Nat.le 1 (B.a * B.b * B.c) := by sorry

Source

Assembly of mme_entropy_regional_profile_1L2_exists; packaging as in mme_entropy_regional_boundary_match_level_two.

View graph