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Proof step 5 from proof div-mult-nls-est-01 (previous step)

j0 < i, i * i0 < i1 * i + j0, i1 < i0, 0 < i, 0 ≤ j0, 0 ≤ i1, 0 < i0 ⊦

User applied rule insert spec-lemma

And obtained the following new goals

Rule argument

spec: int-mult inst: name: modlsp seq: j * i < j * i0 + j0, 0 ≤ j0, j0 < j ⊦ i ≤ i0 subst: [j, i, i0, j0] → [i, i0, i1, j0] flags: []

Additional information

Used simplifier rules: lels-03: ⊦ i < j → (¬ ¬ j ≤ i ↔ false); from specification int-abs%commutativity: ⊦ i * j = j * i; from specification int-mult Used terms: i, i0, i1, j0