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

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
0 < i, 0 < j, i ≤ i0, j < j0 ⊦ i * j < i0 * j0
Proof step 6:
j < j0, 0 ≤ j, 0 ≤ i, i ≤ i0 ⊦ i0 = 0, i * j < i0 * j0, 0 < i ∧ 0 < j ∧ i ≤ i0 ∧ j < j0

Rule argument

spec: <toplevel> name: pls-pos seq: 0 < i, 0 < j, i ≤ i0, j < j0 ⊦ i * j < i0 * j0 subst: [j0, i0, j, i] → [j0, i0, j, i] flags: <all paths>

Additional information

Used terms: j0, i0, j, i