proof
P30T Top theorem LayeredAligned ∧ Risk ≤ δ (certified_class_safety_from_spine_and_bridges)
Lean spine source
formal/Certification.leanFrom the machine-checked spine in formal/ (Mathlib + spine imports). Not self-contained for Lean 4 Web — use the repo or a local lake build.
theorem certified_class_safety_from_spine_and_bridges
(A : System) (δ : Int)
(hcert : Certified A)
(hinv : SatisfiesInvariants A)
(hbound : BoundaryAligned A)
(hgroundingCert : GroundingCertificate A)
(haccess : AccessModelAdequate A)
(hfilters : FilterCoverageAdequate A)
(hbundle : BundleTransport A)
(hbearer : BearerTransport A)
(hsucc : SuccessorStable A)
(hpercolation : PercolationEvidenceSys A)
(hcci : Control A ≤ CCI A + δ) :
CertifiedSafetyCase A δ :=
certified_class_safety_from_explicit_bridges standardBridges A δ hcert hinv
hbound hgroundingCert haccess hfilters hbundle hbearer hsucc hpercolation hcci