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Proof step 3 from proof mod-nls (previous step)

j < j * i + i0, j < 0, i0 < i, 0 < i, 0 ≤ i0 ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ j < (* i1) * j + i ↔ 0 < (i1 - 1) * j + i
Proof step 5:
0 < i, i0 < i, j < 0, 0 < (i - 1) * j + i0, 0 ≤ i0 ⊦

Rule argument

spec: <toplevel> name: numls-12 seq: ⊦ j < (* i1) * j + i ↔ 0 < (i1 - 1) * j + i subst: [i, i1, j] → [i0, i, j] flags: <all paths>

Additional information

Used simplifier rules: commutativity: ⊦ i * j = j * i; Used terms: i0, i, j