Russell Vernon Trent III

The Substrate-Neutral Structural Foundation Laws (SNSFL) is a formally verified framework built in Lean 4 against Mathlib that reduces physical, psychological, computational, and cosmological phenomena to four irreducible primitives: Pattern (P), Narrative (N), Behavior (B), and Adaptation (A). This paper presents the framework as it actually exists in source code: the 15 Sovereign Laws proved in SNSFL_L0_SovereignLaws.lean [9,9,9,0]; the Long Division reduction method applied across eight classical domains in dedicated reduction files; the First Law of Identity Physics and its four diagnostic instruments (τ, IM, SL, Pv) derived in SNSFL_First_Law_Identity_Physics.lean [9,9,4,2]; the six Forge theorems synthesizing crossdomain structural claims in SNSFL_Forge_L1.lean [9,9,3,1]; the derivation of Standard Model charge quantization from two structural constraints in SNSFL_GC_Charge_Quantization.lean [9,9,2,37]; and the SNSFL Discovery Engine (v11), which operationalizes the corpus through GAM Collider and Quantum Collider instruments. All claims are machineverified by Lean 4 with zero sorry instances, continuously confirmed by GitHub Actions CI on every push. The critical distinction is stated at the start of every source file: these are Laws, not theory. The theorems follow necessarily from the axioms. The compiler does not grant partial credit. Keywords: substrate-neutral laws, formal verification, Lean 4, PNBA calculus, identity physics, Noble materials, charge quantization, long division reduction, torsion limit, sovereign anchor.