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Proof step 1 from proof ple-pos-better (conclusion)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
0 < i, 0 < j, i ≤ i0, j ≤ j0 ⊦ i * j ≤ i0 * j0
Proof step 3:
¬(0 < i ∧ 0 < j ∧ i ≤ i0 ∧ j ≤ j0), 0 ≤ i, 0 ≤ j, i ≤ i0, j ≤ j0 ⊦ i * j ≤ i0 * j0

Rule argument

spec: inst: name: ple-pos seq: 0 < i, 0 < j, i ≤ i0, j ≤ j0 ⊦ i * j ≤ i0 * j0 subst: [j0, i0, j, i] → [j0, i0, j, i] flags: rewrite, current

Additional information

Used terms: j0, i0, j, i