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Proof step 13 from proof fermat-1 (previous step)

prime(j), i < 0, ≡mod(~ i ^ j, ~ i, j) ⊦ i = 0, ≡mod(i ^ j, i, j)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ odd(j) ∧ 0 < j → ~ i ^ j = ~(i ^ j)
Proof step 15:
¬(odd(j) ∧ 0 < j), prime(j), i < 0, ≡mod(~ i ^ j, ~ i, j) ⊦ i = 0, ≡mod(i ^ j, i, j)

Rule argument

spec: int-pot inst: name: minus-odd seq: ⊦ odd(j) ∧ 0 < j → ~ i ^ j = ~(i ^ j) subst: [j, i] → [j, i] flags: rewrite

Additional information

Used simplifier rules: cong-neg: ⊦ ≡mod(~ i, ~ i0, j) ↔ ≡mod(i, i0, j); Used terms: j, i