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Proof step 23 from proof middle-coef-max_exp-big-primes (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 24:
2 * i < 3 * j, j ≤ i, prime(j), 2 < i, 0 < i, 2 * i < j ^ 3, j * j ≤ 2 * i, 0 ≤ i, j * j < 3 * j, j * j < j ^ 3 ⊦ (2 * i) / j + (2 * i) / (j * j) = 2 * i / j + 2 * i / (j * j), j = 0

Rule argument

Additional information

Used simplifier rules: forward-lels: ⊦ i ≤ j ∧ j < j0 → i < j0; (forward) from specification int-abs%commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%ls-forward: ⊦ i * j < i * j0 → i ≠ 0; (forward) from specification int-mult