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Proof step 6 from proof fermat-2 (previous step)

≡mod(i0 * i * i ^ (j - 1), 1, j), gcd(j, i) = 1, prime(j), ≡mod(i * i0, 1, j) ⊦ ≡mod(i ^ (j - 1), 1, j)

User applied rule cut formula

And obtained the following new goals

Proof step 7:
i0 * i * i ^ (j - 1) = i ^ (j - 1) * i * i0, ≡mod(i0 * i * i ^ (j - 1), 1, j), gcd(j, i) = 1, prime(j), ≡mod(i * i0, 1, j) ⊦ ≡mod(i ^ (j - 1), 1, j)

Rule argument

fma: i0 * i * i ^ (j - 1) = i ^ (j - 1) * i * i0

Additional information

Used simplifier rules: associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%commutativity: ⊦ i * j = j * i; from specification int-mult Used formulas: i0 * i * i ^ (j - 1) = i ^ (j - 1) * i * i0