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
Le(a, b)Exact expansion
exists h. h + a = bThis 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
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Used by conservative definitions
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All transitive conservative prerequisites
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Used by theorem statements or local proof propositions
FS000K four_square_odd_prime_half_coordinate_seed FS000M four_square_odd_prime_half_seed_norm_strict FS000N four_square_odd_prime_bounded_modular_seed FS000T four_square_branch_odd_represented_strict_step FS000U four_square_bounded_strict_descent_from_odd_signed_quaternion FS001G four_square_descent_strict_multiplier_bounded FS001L four_square_descent_remainder_complement_exists FS001M four_square_descent_centered_signed_remainder_exists FS001N four_square_descent_centered_four_remainders_exist FS001O four_square_descent_norm_bound_forces_smaller_multiplier FS001U four_square_descent_odd_centered_magnitude_half_bound FS001V four_square_descent_add_le_add FS001X four_square_descent_odd_half_norm_strict FS001Y four_square_descent_odd_centered_norm_strict FS0020 four_square_descent_zero_centered_remainder_divides FS0023 four_square_descent_bounded_centered_quotient_nonzero FS0024 four_square_descent_odd_centered_strict_step FS0033 four_square_descent_below_prime_multiplier_bounded FS003I four_square_lagrange_bounded_from_primes FS003M four_square_prime_from_odd_signed_quaternion FS003N four_square_lagrange_from_odd_signed_quaternion FS0045 four_square_half_sum_below_odd FS0049 four_square_ordered_half_square_injective FS004A four_square_prime_half_square_residues_injective FS0058 four_square_signed_centered_representation FS005B four_square_signed_centered_square_congruent FS005C four_square_signed_centered_norm_congruent FS005D four_square_signed_centered_norm_quotient_exists FS005J four_square_signed_centered_orientationGrand-campaign planning vocabulary
Locate Le in the global campaign vocabulary →
Reviewed Le corresponds to blueprint Le 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.