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Proof step 2 from proof nummult-ls-03-01 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: nummult-ls-03 seq: ⊦ 0 < i ∧ j < 0 → ((* j) < (* i) * i0 ↔ (j + 1 - i) / i < i0) subst: [i0, i, j] → [i0, i, j] flags: <all paths>

Additional information

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