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 p b c a l. (exists pfa_gap_constant_bound. pfa_gap_constant_bound + S (a) = (p)) -> (forall pfp_repeat_index_constant_repeat. (exists pfa_gap_constant_repeatindex. pfa_gap_constant_repeatindex + S (pfp_repeat_index_constant_repeat) = (l)) -> (((exists ff_h_pfp_constant_repeatentry. ff_h_pfp_constant_repeatentry + S (a) = S ((S (pfp_repeat_index_constant_repeat)) * c)) /\ exists ff_q_pfp_constant_repeatentry. b = ff_q_pfp_constant_repeatentry * S ((S (pfp_repeat_index_constant_repeat)) * c) + (a)))) -> (forall fom_index_pfp_constant_result. (exists fom_gap_pfp_constant_result_index_bound. fom_gap_pfp_constant_result_index_bound + S (fom_index_pfp_constant_result) = l) -> exists fom_value_pfp_constant_result. ((((exists fom_beta_height_pfp_constant_result_entry. fom_beta_height_pfp_constant_result_entry + S (fom_value_pfp_constant_result) = S ((S (fom_index_pfp_constant_result)) * c)) /\ exists fom_beta_quotient_pfp_constant_result_entry. b = fom_beta_quotient_pfp_constant_result_entry * S ((S (fom_index_pfp_constant_result)) * c) + (fom_value_pfp_constant_result))) /\ (exists fom_gap_pfp_constant_result_value_bound. fom_gap_pfp_constant_result_value_bound + S (fom_value_pfp_constant_result) = p)))Constructive proof overview
Generated structural guide
A genuinely repeated canonical value forms a bounded coefficient table, including length zero.
The unchanged tactic script uses 0 declared prerequisites and contains 15 exact native proof lines.
Alpha v34 checked-use · first admitted v31 · independently kernel and Lean verified; not Stable
Proof neighborhood
Direct dependencies
Direct 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.