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Proof step 7 from proof fermat-1 (previous step)

prime(j) ⊦ ≡mod(0 ^ j, 0, j)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ 0 < j → 0 ^ j = 0

Rule argument

spec: int-pot inst: name: zero-01 seq: ⊦ 0 < j → 0 ^ j = 0 subst: [j] → [j] flags: rewrite

Additional information

Used simplifier rules: cong-same: ⊦ ≡mod(i, i, j);%lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs%prime-not-neg-01: ⊦ j ≤ 0 → ¬ prime(j); from specification int-gcd Used terms: j