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Proof step 5 from proof fermat-for-rsa (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ i * j = j * i
Proof step 7:
0 ≤ i, 0 < j, 2 < j, prime(j), 0 ≤ i1 * (j - 1) ⊦ (i ^ (i1 * (j - 1)) * i) |%| j = i |%| j

Rule argument

spec: int-mult inst: name: commutativity seq: ⊦ i * j = j * i subst: [j, i] → [i1, j - 1] flags: rewrite

Additional information

Used terms: i1, j - 1