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Proof step 28 from proof noeth-modlep (previous step)

0 < j2, j0 < j2, 0 ≤ j0, i0 < i, i1 < j2, j0 ≤ i1, i1 * i + 1 * i ≤ (i1 + 1) * i0 + j0, 0 ≤ i1 ⊦ i1 * i ≤ i1 * i0 + j0 ∧ j0 < i1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: one: ⊦ 1 * i = i;%associativity: ⊦ i * j * j0 = (i * j) * j0;%commutativity: ⊦ i * j = j * i;