PD0002 · conservative definition

Lt

Witness-defined strict order on natural numbers.

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

Lt(a, b)

Exact expansion

exists h. h + S a = b

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

none

Used by conservative definitions

All transitive conservative prerequisites

none

Used by theorem statements or local proof propositions

FS000K four_square_odd_prime_half_coordinate_seed FS000L four_square_odd_prime_half_positive FS000M four_square_odd_prime_half_seed_norm_strict FS000N four_square_odd_prime_bounded_modular_seed FS000O four_square_non_two_prime_bounded_modular_seed FS000P four_square_prime_bounded_modular_seed FS000R four_square_branch_positive_half_strict FS000S four_square_branch_even_represented_strict_step FS000T four_square_branch_odd_represented_strict_step FS000U four_square_bounded_strict_descent_from_odd_signed_quaternion FS0014 four_square_cross_covered_prefix_bounded FS0015 four_square_cross_pigeonhole FS0016 four_square_cross_interleaved_prefix_exists FS0017 four_square_cross_intersection FS001E four_square_descent_strict_step_from_centered_quaternion FS001G four_square_descent_strict_multiplier_bounded FS001H four_square_descent_prime_from_strict_step FS001I four_square_descent_prime_from_modular_seed_and_step FS001J four_square_descent_three_mod_four_primes_from_seed_and_step FS001K four_square_lagrange_from_modular_seeds_and_strict_descent FS001O four_square_descent_norm_bound_forces_smaller_multiplier FS001U four_square_descent_odd_centered_magnitude_half_bound FS001X four_square_descent_odd_half_norm_strict FS001Y four_square_descent_odd_centered_norm_strict FS0021 four_square_descent_nonunit_proper_factor_not_prime FS0023 four_square_descent_bounded_centered_quotient_nonzero FS0024 four_square_descent_odd_centered_strict_step FS0031 four_square_prime_from_strict_descent FS0032 four_square_lagrange_from_strict_descent FS0033 four_square_descent_below_prime_multiplier_bounded FS0034 four_square_prime_from_bounded_strict_descent_and_seed FS0035 four_square_prime_from_bounded_strict_descent FS0036 four_square_lagrange_from_bounded_strict_descent FS003I four_square_lagrange_bounded_from_primes FS0043 four_square_half_double_below_odd FS0044 four_square_two_half_ranges_overflow_odd FS0045 four_square_half_sum_below_odd FS0046 four_square_bounded_multiple_is_zero FS0049 four_square_ordered_half_square_injective FS004B four_square_square_residue_prefix_exists FS004C four_square_square_residue_prefix_bounded FS004E four_square_half_square_residue_prefix_injective FS004F four_square_bounded_complement_prefix_exists FS004H four_square_complement_prefix_bounded FS004I four_square_complement_prefix_preserves_injectivity FS004K four_square_odd_prime_modular_seed

Grand-campaign planning vocabulary

Locate Lt in the global campaign vocabulary →

Reviewed Lt corresponds to blueprint Lt 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.