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Proof step 3 from proof pnle-neg (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-mult inst: name: pls-neg seq: i < 0, j < 0, i0 ≤ i, j0 < j ⊦ i * j < i0 * j0 subst: [j0, i0, j, i] → [j0, i0, j, i] flags: rewrite, current

Additional information

Used simplifier rules: lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs%zero-gels-01: ⊦ i < 0 ∧ 0 ≤ j → i < j; from specification int-abs Used terms: j0, i0, j, i