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Proof step 2 from proof nummult-ls-04 (previous step)

0 < i, 0 ≤ j ⊦ i * i0 < j ↔ i0 < (i + j - 1) / i

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: nummult-ls seq: ⊦ 0 < i ∧ 0 ≤ j → ((* i) * i0 < (* j) ↔ i0 < (i + j - 1) / i) subst: [j, i0, i] → [j, i0, i] flags: <all paths>

Additional information

Used simplifier rules: ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j; (s) Used terms: j, i0, i