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

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ 0 < i ∧ j < 0 → ((* i) * i0 ≤ (* j) ↔ i0 ≤ (j + 1 - i) / i)

Rule argument

spec: <toplevel> name: nummult-le-01 seq: ⊦ 0 < i ∧ j < 0 → ((* i) * i0 ≤ (* j) ↔ i0 ≤ (j + 1 - i) / 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