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.
Definition in prerequisite notation
s = S ((q + t) · S (q + t) + (t + t))Only definitions earlier in this acyclic notation graph are used here.
Hygienic expanded first-order definition
s = S ((q + t) * S (q + t) + (t + t))The unchanged native kernel never receives this surface symbol. Binder-safe expansion produces only its existing first-order syntax.
Direct definition dependencies
none — first-order arithmetic only
Definitions depending on this notation
Checked theorems using this definition
BA002A · cf_convergent_old_history_successor_eliminationBA002D · cf_convergent_old_history_nonempty_headBA0033 · cf_convergent_matrix_successor_eliminationBA0034 · cf_convergent_matrix_nonempty_listBA003B · cf_convergent_matrix_extend_preserved_prefixBA003C · cf_convergent_matrix_prepend_existsBA003D · cf_convergent_euclidean_matrix_step_alignmentBA003F · cf_convergent_every_valid_matrix_prefix_existsBA0043 · cf_convergent_initial_matrix_existsBA0044 · continued_fraction_first_cell_is_initial_convergentBA0046 · continued_fraction_initial_zero_over_oneBA004B · cf_convergent_matrix_prefix_functionalBA004E · continued_fraction_initial_convergent_is_first_quotientBA004F · cf_convergent_second_column_is_previous_prefix