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
PrimitivePythagorean(x, y, z)Exact expansion
(((x) * (x) + (y) * (y) = (z) * (z)) /\ (forall pff_divisor_frontier. (exists pff_left_frontier. (x) = pff_divisor_frontier * pff_left_frontier) -> (exists pff_right_frontier. (y) = pff_divisor_frontier * pff_right_frontier) -> pff_divisor_frontier = 1))This 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
Used by conservative definitions
All transitive conservative prerequisites
Used by theorem statements or local proof propositions
PF000C pythagorean_primitive_leg_swap PF000T pythagorean_primitive_euclidean_constructor PF000U pythagorean_primitive_euclidean_from_order PF000V pythagorean_primitive_euclidean_swapped_constructor PF000W pythagorean_primitive_hypotenuse_coprime_first_leg PF000X pythagorean_primitive_hypotenuse_coprime_second_leg PF000Y pythagorean_primitive_pairwise_coprime PF000Z pythagorean_primitive_legs_not_both_even PF0014 pythagorean_primitive_legs_opposite_parity PF0016 pythagorean_primitive_hypotenuse_odd PF0017 pythagorean_primitive_normal_form PF001V pythagorean_odd_even_half_factors PF001X pythagorean_primitive_odd_even_inverse PF002G fermat_four_nested_primitive_triangle PF002I fermat_four_primitive_square_triangle PF002K fermat_four_primitive_odd_even_descent PF002L fermat_four_primitive_descentGrand-campaign planning vocabulary
Locate PrimitivePythagorean in the global campaign vocabulary →
Reviewed PrimitivePythagorean corresponds to blueprint PrimitivePythagorean with checked argument positions [0, 1, 2].
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.