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Proof step 15 from proof ls-def (previous step)

i * j0 = i1 + i0 * j, i0 * j ≤ i1 + i0 * j, 0 < j, 0 < j0, i1 < 0 ⊦ j0 = 0, j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 16:
⊦ i ≤ i + j ↔ 0 ≤ j

Rule argument

seq: ⊦ i ≤ i + j ↔ 0 ≤ j subst: [j, i] → [i1, i0 * j] rotate: F spec: int-abs inst: name: lep

Additional information

Used simplifier rules: ⊦ i < j → (¬ ¬ j ≤ i ↔ false);% ⊦ i * j = j * i;% ⊦ i + j = j + i; Used terms: i1, i0 * j