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 expanded first-order arithmetic statement
forall a m. ((exists eut_gap_eu_unit_given_domain. eut_gap_eu_unit_given_domain + S (1) = (m)) /\ exists eu_inverse_unit_given. (exists eut_gap_eu_unit_given_bound. eut_gap_eu_unit_given_bound + S (eu_inverse_unit_given) = (m)) /\ (exists eu_mod_left_unit_given_inverse eu_mod_right_unit_given_inverse. ((a)*eu_inverse_unit_given) + (m) * eu_mod_left_unit_given_inverse = (1) + (m) * eu_mod_right_unit_given_inverse)) -> (forall eut_divisor_eu_unit_coprime. (exists eut_left_eu_unit_coprime. (a) = eut_divisor_eu_unit_coprime * eut_left_eu_unit_coprime) -> (exists eut_right_eu_unit_coprime. (m) = eut_divisor_eu_unit_coprime * eut_right_eu_unit_coprime) -> eut_divisor_eu_unit_coprime = 1)Constructive proof overview
Generated structural guide
An actual bounded inverse implies the frozen common-divisor coprimality graph.
The unchanged tactic script uses 1 declared prerequisite and contains 11 exact native proof lines.
Alpha v34 checked-use · first admitted v31 · independently kernel and Lean verified; not Stable
Proof neighborhood
Direct dependencies
mod_inverse_implies_coprime Stable theorem; checked-use authorizedDirect dependents
Formal native tactic body
Dependencies are introduced as named hypotheses before line 1. Local theorem links identify exact declared prerequisites. This exact body belongs to a complete independently kernel-checked constructive proof bundle and has Alpha checked-use authority; it does not imply Stable membership.
Read the argument
Proof checkpoints
This is a reading aid, not a new proof or a proof-tree certificate. Checkpoint groups are consecutive commands, not inferred branch boundaries. Every step links to the preserved script.