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.
Exact expanded first-order arithmetic statement
forall b c l. (forall ff_index_be_prefix_next ff_digit_be_prefix_next. (exists ff_lt_be_prefix_next_bound. ff_lt_be_prefix_next_bound + S ff_index_be_prefix_next = S l) -> (((exists ff_h_be_prefix_next_digit. ff_h_be_prefix_next_digit + S (ff_digit_be_prefix_next) = S ((S (ff_index_be_prefix_next)) * c)) /\ exists ff_q_be_prefix_next_digit. b = ff_q_be_prefix_next_digit * S ((S (ff_index_be_prefix_next)) * c) + (ff_digit_be_prefix_next))) -> (ff_digit_be_prefix_next = 0 \/ ff_digit_be_prefix_next = 1)) -> (forall ff_index_be_prefix ff_digit_be_prefix. (exists ff_lt_be_prefix_bound. ff_lt_be_prefix_bound + S ff_index_be_prefix = l) -> (((exists ff_h_be_prefix_digit. ff_h_be_prefix_digit + S (ff_digit_be_prefix) = S ((S (ff_index_be_prefix)) * c)) /\ exists ff_q_be_prefix_digit. b = ff_q_be_prefix_digit * S ((S (ff_index_be_prefix)) * c) + (ff_digit_be_prefix))) -> (ff_digit_be_prefix = 0 \/ ff_digit_be_prefix = 1))Constructive proof overview
Generated structural guide
Every valid successor-length binary digit prefix has a valid predecessor prefix.
The unchanged tactic script uses 1 declared prerequisite and contains 16 exact native proof lines.
Alpha v34 checked-use · first admitted v22 · independently kernel and Lean verified; not Stable
Proof neighborhood
Direct dependencies
le_succ 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.