{"id":"mod-6-equivalence","text":"The average-even-divisible-by-three solution collapses `n % 2 == 0 and n % 3 == 0` into `n % 6 == 0` using the fact that lcm(2, 3) = 6, a number-theory simplification that recurs across solutions with coprime divisibility checks.","truth_value":"IN","source":"entries/2026/06/06/average-value-of-even-numbers-that-are-divisible-by-three-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"mod-6-equivalence","truth_value":"IN","reason":"premise"}]}}