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Proof step 36 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, j * j ≤ 2 * i, j * j < j ^ 2 ⊦ (2 * i) / j = 2 * i / j

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 37:
⊦ 0 < i → j ^ i = j ^ i -1 * j

Rule argument

spec: int-pot inst: name: Pot-pos seq: ⊦ 0 < i → j ^ i = j ^ i -1 * j subst: [i, j] → [2, j] flags: rewrite

Additional information

Used simplifier rules: one: ⊦ i ^ 1 = i; from specification int-pot%lenls: ⊦ i ≤ j → ¬ j < i; from specification int-abs Used terms: 2, j