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Proof step 2 from proof fermat-1-mod (previous step)

prime(j) ⊦ i ^ j |%| j = i |%| j

User applied rule insert lemma

And obtained the following new goals

Proof step 3:
⊦ prime(j) → ≡mod(i ^ j, i, j)
Proof step 4:
prime(j) → ≡mod(i ^ j, i, j), prime(j) ⊦ i ^ j |%| j = i |%| j

Rule argument

spec: int-mod inst: name: fermat-1 seq: ⊦ prime(j) → ≡mod(i ^ j, i, j) subst: [j, i] → [j, i] flags: current, []

Additional information

Used terms: j, i