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Proof step 2 from proof abs-ls (previous step)

j < 0, i < 0, j < j0, i * j + j0 ≤ 0, j0 < 0, j < ~1 ⊦

User applied rule insert lemma

And obtained the following new goals

Proof step 3:
⊦ i < 0 ∧ j < j0 ∧ j < 0 → 0 < i * j + j0

Rule argument

spec: int-mult inst: name: modzero-06 seq: ⊦ i < 0 ∧ j < j0 ∧ j < 0 → 0 < i * j + j0 subst: [i, j, j0] → [i, j, j0] flags: current, []

Additional information

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