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

j < 0, 0 < i ⊦ j ≤ i * i0 ↔ j / i ≤ i0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ 0 < i ∧ j < 0 → ((* j) ≤ (* i) * i0 ↔ j / i ≤ i0)

Rule argument

spec: <toplevel> name: nummult-le-03 seq: ⊦ 0 < i ∧ j < 0 → ((* j) ≤ (* i) * i0 ↔ j / 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