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.
Readable signature
Dvd(d, n)Exact expansion
exists k. n = d * kThis node is conservative notation, not a theorem, axiom, predicate constant, or kernel rule. Its expansion remains in the unchanged first-order language.
Definition neighborhood
Depends on conservative definitions
none
Used by conservative definitions
All transitive conservative prerequisites
none
Used by theorem statements or local proof propositions
TS0007 predecessor_square_congruence_yields_divisible_norm TS0008 prime_mod_four_one_divisible_two_square_norm_exists TS0009 prime_mod_four_one_bounded_divisible_two_square_norm_exists TS000A positive_multiple_below_twice_equals_base TS000B bounded_divisible_two_square_norm_equals_prime TS000K prime_floor_bounded_divisible_norm_represents_prime TS0011 balanced_zero_congruence_implies_multiple TS0012 multiple_implies_balanced_zero_congruence TS0014 negative_one_scaled_square_congruent_zero TS0017 negative_one_congruent_square_norm_multiple TS0018 negative_one_linear_congruence_norm_multiple TS0019 negative_one_opposite_linear_congruence_norm_multiple TS001D affine_collision_absolute_difference_norm_multiple TS001M prime_floor_decoded_affine_collision_represents_prime TS001N prime_floor_affine_grid_collision_represents_prime TS0023 negative_one_norm_multiple_yields_predecessor_residue TS0024 prime_divisible_two_square_norm_unit_coordinate_yields_negative_one_root TS0026 three_mod_four_prime_norm_divisor_forces_second_coordinate TS0027 three_mod_four_prime_divides_two_square_norm_divides_both TS002V positive_number_with_admissible_prime_divisors_is_two_square TS002W prime_divisor_of_prime_forces_equality TS002X distinct_prime_power_valuation_zero TS002Z even_positive_prime_valuation_has_square_divisor TS0030 prime_square_divisibility_forces_suffix_prime_divisor TS0031 beta_sorted_prime_prefix_divisor_equals_bounded_last TS0032 even_valuation_sorted_terminal_prime_has_equal_predecessor TS003C all_bad_prime_even_two_square_sufficiency_bounded TS003K two_square_common_divisor_extracts_squared_factor TS003L two_square_common_squared_factor_divides_norm TS003N three_mod_four_prime_two_square_norm_extracts_squared_factor TS003O three_mod_four_prime_nonzero_two_square_norm_extracts_nonzero_quotient TS003R three_mod_four_prime_nonzero_norm_positive_valuation_extractsGrand-campaign planning vocabulary
Locate Dvd in the global campaign vocabulary →
Reviewed Dvd corresponds to blueprint Dvd with checked argument positions [0, 1].
The global atlas describes planning vocabulary and does not itself certify a definition or theorem. The reviewed expansion and conservative dependency DAG on this page are the actual family-local reading definitions.