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Proof step 8 from proof modlep (previous step)

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

User applied rule apply lemma

And obtained the following new goals

Proof step 9:
j * i < j * i0 + j0, 0 ≤ j0, j0 < j ⊦ i ≤ i0

Rule argument

spec: <toplevel> name: modlsp seq: j * i < j * i0 + j0, 0 ≤ j0, j0 < j ⊦ i ≤ i0 subst: [j, i, i0, j0] → [j, i, i0, j0]

Additional information

Used simplifier rules: ⊦ i < j → (j ≤ i ↔ false); (as) Used terms: j, i, i0, j0