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Proof step 32 from proof middle-coef-max_exp-big-primes (previous step)

1 < 2, 1 < i, j ≤ 2 * i, 2 * i < j ^ 2, 0 < i, 2 < i, prime(j), j ≤ i, (2 * i) / 3 < j, j < j ^ 2, (2 * i) / 3 < 2 * i, (2 * i) / 3 < j ^ 2 ⊦ Σ [] + (2 * i) / j = 2 * i / j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 33:
1 < i, j ≤ 2 * i, 2 * i < j ^ 2, 0 < i, 2 < i, prime(j), j ≤ i, (2 * i) / 3 < j, j < j ^ 2, (2 * i) / 3 < 2 * i, (2 * i) / 3 < j ^ 2 ⊦ (2 * i) / j = 2 * i / j

Rule argument

Additional information

Used simplifier rules: add-c: ⊦ i + j = j + i; from specification int-basic2%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%ax-04: ⊦ i + 0 = i; from specification int-basic2%sum-empty: ⊦ Σ [] = 0; from specification intlist