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Proof step 9 from proof ls (previous step)

i1 * i + j0 = i0 * j + j1, j1 < j, j0 < i, i1 < i0, 0 < i, 0 < j, j0 < j, 0 < i0 * j + j1, 0 < i0, i ≤ j, 0 ≤ j0, 0 ≤ i1, 0 ≤ j1 ⊦

User applied rule insert spec-lemma

And obtained the following new goals

Rule argument

spec: int-mult name: modneqp seq: i * i0 + j0 = i1 * j + j1, 0 ≤ j1, j1 < j, 0 ≤ j0, j0 < j, 0 ≤ i0, i0 ≤ j, 0 ≤ i, i < i1 ⊦ subst: [i, i0, j0, i1, j, j1] → [i1, i, j0, i0, j, j1]

Additional information

Used simplifier rules: ⊦ i ≤ j ↔ ¬ j < i; (ss)% ⊦ i < j → ¬ j < i; (s) Used terms: i1, i, j0, i0, j, j1