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/-
  AXLE — Principia Orthogona Formal Verification Engine
  G6 LLC · Pablo Nogueira Grossi · Newark NJ · 2026
  MIT License

  This is the barrel file for the AXLE library.
  It imports every module that Lake should compile as part of
  the AXLE build target.

  Structure:
    · Verified geometric fragment  — Finite.lean (Kakeya)
    · Verified toy pillars         — Dm3*Toy.lean (6 pillars)
    · Verified ordinal hierarchy   — AXLE_v5_1.lean (Mahlo)
    · Real conjectural pillars     — dm3Collatz.lean, Dm3Comp.lean

  sorry count across verified modules: 0
  sorry count across conjectural modules: see individual files
-/

-- ============================================================
-- VERIFIED: Geometric fragment (Kakeya)
-- ============================================================
-- Proves: finite-directions Kakeya with thickened segments.
-- namespace AXLE.Kakeya.Finite
-- sorry count: 0
import Finite

-- ============================================================
-- VERIFIED: Toy pillars (zero sorry each)
-- ============================================================

-- Topological pillar: discrete Ricci flow → sphereComplex
-- namespace Dm3PoincareToy
import Dm3PoincareToy

-- Additive-arithmetic pillar: compression toward prime-pair base
-- namespace Dm3GoldbachToy
import Dm3GoldbachToy

-- PDE/flow pillar: energy dissipation → rest state
-- namespace Dm3NSToy
import Dm3NSToy

-- Analytic pillar: zeros pulled to critical line
-- namespace Dm3RHToy
import Dm3RHToy

-- ============================================================
-- VERIFIED: Ordinal hierarchy (Mahlo levels)
-- ============================================================
-- Proves: closurePoints_stationary for regular uncountable α.
-- Volume IV master theorem: regeneration_hierarchy_mahlo.
-- namespace TOGT
-- sorry count: 0
import AXLE_v5_1

-- ============================================================
-- CONJECTURAL: Real pillars (formally stated, sorry present)
-- ============================================================

-- Collatz/Syracuse: real C/K/F/U grammar, convergence axiomatic
-- namespace Dm3Collatz
import dm3Collatz

-- P vs NP: computational dm³ pillar
-- namespace Dm3Comp
import Dm3Comp