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Proof step 3 from proof modlep (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
j * i = j * i0 + j0, 0 < j, 0 ≤ j0, i0 < i, j0 < j ⊦

Rule argument

Additional information

Used simplifier rules: le-pos: ⊦ 0 < i → (i * j ≤ i * i0 ↔ j ≤ i0);%associativity: ⊦ i * j * j0 = (i * j) * j0;%commutativity: ⊦ i * j = j * i;%ler: ⊦ i ≤ i; from specification int-abs