Lucas campaign · 33 / 44
33 verified campaign nodes visible in this proof family; the campaign denominator includes rows shared with other maps.
Current library: Alpha v34, 4,223 checked-use theorems; Stable remains 432. Historical first admissions, original proof editions, and non-admitted aliases are preserved. Exact original first-admission records.
Sparse modes suppress visual objects only. Every local proof and notation relation remains in the selected-node panel; external prerequisites and their exact release evidence appear on each individual theorem page.
Proof arrows run from prerequisite to dependent; notation arrows run from a theorem or definition to the conservative definition it uses. Select a node to inspect every direct relation.
theorem definition proof dependency uses definition
dependency-curried kernel-checked theorem body; Alpha enrollment and checked-use authority follow separately sealed release evidence; Stable membership remains unchanged.
Constructive numerical example
Finite browser arithmetic illustrates the displayed formulas; it is not a theorem certificate.
Evidence and release boundary
The complete arbitrary-length multidigit Lucas congruence, terminating beta-coded quotient/digit chains, actual coefficient/product witnesses, and unrestricted prime-block one-step identity were first enrolled in Alpha v13 as body_checked; the multidigit endpoint and its exact prerequisite closure are now independently kernel- and Lean-verified Alpha v34 checked-use theorems, without Stable admission.
Alpha v30 contains 44 of 64 displayed theorem bodies, including 44 independently verified alpha_closed checked-use theorems from 3222 checked release theorems; no displayed theorem is admitted to Stable. Historical replay experiments have no persisted certificate and do not change release evidence, checked-use authority, or Stable admission.
Historical experimental replay records
Independent closure experiments
Previously independently replay-verified empty-context experiments. Those experiments persisted no certificates and granted no release authority; current Alpha checked use follows separately sealed, independently verified proof bundles. This browser does not replay proofs or alter Stable membership.