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
Mod4One(n)Exact expansion
exists h. n = 4 * h + 1This 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
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All transitive conservative prerequisites
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Used by theorem statements or local proof propositions
TS0001 odd_square_is_four_multiple_plus_one TS0002 square_mod_four_zero_or_one TS0003 sum_two_squares_mod_four_cases TS0005 prime_mod_four_one_minus_one_square_exists TS0006 prime_mod_four_one_bounded_minus_one_square_exists TS0008 prime_mod_four_one_divisible_two_square_norm_exists TS0009 prime_mod_four_one_bounded_divisible_two_square_norm_exists TS001O prime_mod_four_one_is_sum_of_two_squares TS0021 prime_mod_four_trichotomy TS0028 prime_is_two_squares_iff_two_or_one_mod_four TS002O prime_two_or_one_mod_four_is_sum_of_two_squares TS002Q beta_admissible_prime_factor_product_is_two_square TS002S beta_grouped_prime_square_factor_product_is_two_square TS002V positive_number_with_admissible_prime_divisors_is_two_square TS003B prime_mod_four_good_or_three TS003C all_bad_prime_even_two_square_sufficiency_boundedGrand-campaign planning vocabulary
Locate Mod4One in the global campaign vocabulary →
Reviewed Mod4One corresponds to blueprint Mod4One with checked argument positions [0].
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.