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Proof step 10 from proof prod-div-less (previous step)

i * i1 = i0 * j + j0, i < j, i1 < j, i ≤ i0, 0 < i, 0 < i1, 0 < j, 1 < j, j0 < j, 0 < i0, 0 ≤ j0, 0 ≤ i0, 0 ≤ i1 ⊦ i < i0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ler: ⊦ i ≤ i; from specification int-abs%anti: ⊦ i ≤ j → (j ≤ i ↔ i = j); from specification int-abs%lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs