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
ModEq(m, a, b)Exact expansion
exists u v. a + m * u = b + m * vThis 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
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Used by theorem statements or local proof propositions
TS0007 predecessor_square_congruence_yields_divisible_norm TS0011 balanced_zero_congruence_implies_multiple TS0012 multiple_implies_balanced_zero_congruence TS0014 negative_one_scaled_square_congruent_zero TS0015 balanced_linear_congruence_implies_squared_congruence TS0016 balanced_zero_sum_implies_squared_congruence TS0017 negative_one_congruent_square_norm_multiple TS0018 negative_one_linear_congruence_norm_multiple TS0019 negative_one_opposite_linear_congruence_norm_multiple TS001C affine_collision_difference_linear_or_opposite TS001D affine_collision_absolute_difference_norm_multiple TS001L equal_remainder_affine_values_balanced_congruent TS001M prime_floor_decoded_affine_collision_represents_prime TS001N prime_floor_affine_grid_collision_represents_prime TS0024 prime_divisible_two_square_norm_unit_coordinate_yields_negative_one_rootGrand-campaign planning vocabulary
Locate ModEq in the global campaign vocabulary →
Reviewed ModEq corresponds to blueprint ModEq 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.