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Proof step 1 from proof ple-neg (conclusion)

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

User applied rule insert lemma

And obtained the following new goals

Proof step 2:
i < 0, j < 0, i0 ≤ i, j0 < j ⊦ i * j < i0 * j0

Rule argument

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

Additional information

Used simplifier rules: lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs%ls-01: ⊦ i < j → ¬ j < i; from specification int-basic1 Used terms: i, j, i0, j0