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Proof step 2 from proof nummult-le-02-01 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: nummult-le-02 seq: ⊦ 0 < i ∧ 0 ≤ j → ((* j) ≤ (* i) * i0 ↔ (i + j - 1) / 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