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Proof step 16 from proof fermat-1 (previous step)

i < 0, ≡mod(i ^ 2, ~ i, 2) ⊦ i = 0, ≡mod(i ^ 2, i, 2)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 17:
⊦ ≡mod(i, i0, j) ↔ j | abs(i - i0)
Proof step 18:
i < 0, 2 | abs(i ^ 2 - ~ i) ⊦ i = 0, ≡mod(i ^ 2, i, 2)

Rule argument

spec: int-mod inst: name: congmod-def seq: ⊦ ≡mod(i, i0, j) ↔ j | abs(i - i0) subst: [j, i0, i] → [2, ~ i, i ^ 2] flags: rewrite, current

Additional information

Used terms: 2, ~ i, i ^ 2