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Proof step 21 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 ^ 2 ≤ 2 * i, j ^ 2 < j ^ 3, j ^ 2 < 3 * j, 0 ≤ i ⊦ (2 * i) / j + (2 * i) / j ^ 2 = 2 * i / j + 2 * i / j ^ 2

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 22:
⊦ i ^ 2 = i * i
Proof step 23:
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)

Rule argument

spec: int-pot inst: name: pot-square-04 seq: ⊦ i ^ 2 = i * i subst: [i] → [j] flags: rewrite

Additional information

Used terms: j