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Proof step 15 from proof transitivity (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ i * j = j * i subst: [j, i] → [j, j1] rotate: F spec: int-mult inst: name: commutativity

Additional information

Used simplifier rules: ⊦ i * j = j * i; Used terms: j, j1