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 B. (forall fom_index_mrf_drop_source. (exists fom_gap_mrf_drop_source_index_bound. fom_gap_mrf_drop_source_index_bound + S (fom_index_mrf_drop_source) = S l) -> exists fom_value_mrf_drop_source. ((((exists fom_beta_height_mrf_drop_source_entry. fom_beta_height_mrf_drop_source_entry + S (fom_value_mrf_drop_source) = S ((S (fom_index_mrf_drop_source)) * c)) /\ exists fom_beta_quotient_mrf_drop_source_entry. b = fom_beta_quotient_mrf_drop_source_entry * S ((S (fom_index_mrf_drop_source)) * c) + (fom_value_mrf_drop_source))) /\ (exists fom_gap_mrf_drop_source_value_bound. fom_gap_mrf_drop_source_value_bound + S (fom_value_mrf_drop_source) = B))) -> (forall fom_index_mrf_drop_result. (exists fom_gap_mrf_drop_result_index_bound. fom_gap_mrf_drop_result_index_bound + S (fom_index_mrf_drop_result) = l) -> exists fom_value_mrf_drop_result. ((((exists fom_beta_height_mrf_drop_result_entry. fom_beta_height_mrf_drop_result_entry + S (fom_value_mrf_drop_result) = S ((S (fom_index_mrf_drop_result)) * c)) /\ exists fom_beta_quotient_mrf_drop_result_entry. b = fom_beta_quotient_mrf_drop_result_entry * S ((S (fom_index_mrf_drop_result)) * c) + (fom_value_mrf_drop_result))) /\ (exists fom_gap_mrf_drop_result_value_bound. fom_gap_mrf_drop_result_value_bound + S (fom_value_mrf_drop_result) = B)))Constructive proof overview
Generated structural guide
Deleting the last index preserves a finite selector value bound.
The unchanged tactic script uses 1 declared prerequisite and contains 13 exact native proof lines.
Alpha v34 checked-use · first admitted v27 · 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.