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Proof step 33 from proof middle-coef-max_exp-big-primes (previous step)

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

User applied rule insert lemma

And obtained the following new goals

Proof step 34:
(2 * i) / 3 < j, j ≤ i, 2 < i, 2 * i < j * j ⊦ (2 * i) / j = 2 * i / j
Proof step 35:
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 * j, (2 * i) / j = 2 * i / j

Rule argument

spec: inst: name: est-4-big seq: (2 * i) / 3 < j, j ≤ i, 2 < i, 2 * i < j * j ⊦ (2 * i) / j = 2 * i / j subst: [i, j] → [i, j] flags: current, []

Additional information

Used terms: i, j