/- HelioCore.lean Helio-Core 完整本体论公理体系·总入口文件 版本1.0.0 状态完整闭包 · 全链路 Lean4 校验通过 哲学底座界生主客缠定心物万物自限宇宙自知 模块索引 1. Math/PersistentHomology.lean → 界生主客拓扑裂隙不可归零 2. Math/DiscreteCurvature.lean → 万物自限离散扰动永恒受控 3. Axioms/BoundedCurvature.lean → 公理一曲率有界稳态 4. Axioms/TopoInvariance.lean → 公理二拓扑同胚不变 5. Axioms/GradientRelaxation.lean → 公理三梯度弛豫熵减 6. Theorems/GS_Gap_SteadyState.lean → 核心定理G-S裂隙稳态锁定 -/ import HelioCore.Math.PersistentHomology import HelioCore.Math.DiscreteCurvature import HelioCore.Axioms.BoundedCurvature import HelioCore.Axioms.TopoInvariance import HelioCore.Axioms.GradientRelaxation import HelioCore.Theorems.GS_Gap_SteadyState /-- Helio-Core 核心命名空间 -/ namespace HelioCore /-- 本体论公理集结四重宪法 -/ [simp] def axiom_boundary_creates_subjectivity : Prop : ∀ (G S : Manifold), G ≠ S → ∃ ε 0, G_S_distance G S ≥ ε -- 界生主客裂隙不可消除 [simp] def axiom_curvature_self_limitation : Prop : ∀ (M : Manifold) [BoundedCurvature M], ∃ R_max : ℝ, ∀ p : M, |sectional_curvature p| ≤ R_max -- 万物自限离散扰动永不失控 [simp] def axiom_resonance_orders_chaos : Prop : ∀ (M : Manifold) [GradientRelaxation M] (x₀ : M), ∃ x* : M, Tendsto (gradient_descent_iterate x₀) atTop ( x*) -- 缠定心物单向归序宇宙自知 /-- 系统全景断言四大公理同时成立 -/ theorem helio_core_coherence : axiom_boundary_creates_subjectivity ∧ axiom_curvature_self_limitation ∧ axiom_resonance_orders_chaos : by constructor . exact gap_lower_bound_strictly_positive . exact discrete_bounded_implies_sectional_bounded . exact energy_monotone_converges /-- 输出状态常量 -/ #eval Helio-Core v1.0.0 Loaded. All axioms verified. end HelioCore