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Proof step 4 from proof le-pos (previous step)

i * j ≤ i * i0, 0 < i, i0 < j ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ 0 < i → (i * j < i * j0 ↔ j < j0)

Rule argument

spec: int-mult inst: name: ls-pos seq: ⊦ 0 < i → (i * j < i * j0 ↔ j < j0) subst: [i, j, j0] → [i, i0, j] flags: rewrite, current

Additional information

Used simplifier rules: lels-03: ⊦ i < j → (¬ ¬ j ≤ i ↔ false); from specification int-abs Used terms: i, i0, j