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
Mod4Three(n)Exact expansion
exists h. n = 4 * h + 3This 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
TS0004 sum_two_squares_not_four_mod_three TS0021 prime_mod_four_trichotomy TS0025 three_mod_four_prime_has_no_negative_one_root TS0026 three_mod_four_prime_norm_divisor_forces_second_coordinate TS0027 three_mod_four_prime_divides_two_square_norm_divides_both TS0028 prime_is_two_squares_iff_two_or_one_mod_four TS0037 three_mod_four_number_not_equal_represented TS003B prime_mod_four_good_or_three TS003C all_bad_prime_even_two_square_sufficiency_bounded TS003D positive_number_with_even_bad_prime_valuations_is_two_square TS003E nonzero_two_square_iff_even_three_mod_four_prime_valuations TS003F two_square_iff_zero_or_even_three_mod_four_prime_valuations 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_extracts TS003T three_mod_four_prime_two_square_norm_valuation_even_bounded TS003U three_mod_four_prime_two_square_norm_valuation_even TS003V three_mod_four_prime_represented_nonzero_valuation_evenGrand-campaign planning vocabulary
Locate Mod4Three in the global campaign vocabulary →
Reviewed Mod4Three corresponds to blueprint Mod4Three 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.