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Proof step 16 from proof gcdhex (previous step)

gcd(i, j) = gcd(j, i % j), 0 < j, 0 ≤ i, j < i, 1 < i, 0 < i, j < i % j, 0 < i % j, 1 < i % j, ∀ i0, j. i→n(i0) < i→n(i) → 0 ≤ i0 ∧ 0 ≤ j ∧ j ≤ i0 → (∃ i1, j0. gcd(i0, j) = i0 * i1 + j * j0) ⊦ i = j, j = 0, ∃ i0, j0. gcd(i, j) = i * i0 + j * j0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-div inst: name: mod-nls-01 seq: ⊦ j ≤ i0 ∧ 0 < j → ¬ i0 < i % j subst: [j, i, i0] → [j, i, j] flags: rewrite

Additional information

Used simplifier rules: ler: ⊦ i ≤ i; from specification int-abs Used terms: j, i, j