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Proof step 26 from proof middle-coef-max_exp-big-primes (previous step)

0 < j, 2 * i < 3 * j, j ≤ i, prime(j), 2 < i, 0 < i, 2 * i < j ^ 3, j * j ≤ 2 * i, 0 ≤ i, j < 3, j * j < j ^ 3 ⊦ (2 * i) / j + (2 * i) / (j * j) = 2 * i / j + 2 * i / (j * j), j = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
2 * i < 3 * j, j ≤ i, prime(j), 2 < i, 0 < i, 2 * i < j ^ 3, j * j ≤ 2 * i, 0 ≤ i, j < 3, j * j < j ^ 3, 0 < j ⊦ (2 * i) / j + (2 * i) / (j * j) = 2 * i / j + 2 * i / (j * j), j = 0

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%forward-pos: ⊦ i < j ∧ 0 < i → 0 < j ∧ 1 < j; (forward) from specification int-basic1