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Proof step 20 from proof fermat-for-rsa (previous step)

prime(j) ∧ 0 < i1, 0 ≤ i, 2 < j, prime(j), 0 < j, 0 ≤ i1, j | i ⊦ ((i ^ i1) ^ (j - 1) |%| j * i |%| j) |%| j = i |%| j, gcd(j, i ^ i1) = 1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 21:
0 ≤ i, 2 < j, prime(j), 0 < j, 0 ≤ i1, j | i, 0 < i1 ⊦ ((i ^ i1) ^ (j - 1) |%| j * i |%| j) |%| j = i |%| j, gcd(j, i ^ i1) = 1

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs