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Proof step 11 from proof prod-div-less (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ i ≤ i; (s)% ⊦ i ≤ j → (j ≤ i ↔ i = j); (s)% ⊦ i < j ↔ ¬ j ≤ i; (ss)