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Proof step 6 from proof modzero-07 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ i < 0 ∧ j < 0 → ¬ 0 ≤ i + j

Rule argument

spec: int-abs name: zero-ge-01 seq: ⊦ i < 0 ∧ j < 0 → ¬ 0 ≤ i + j subst: [j, i] → [j0, i * j] flags: <all paths>

Additional information

Used simplifier rules: zero-ls: ⊦ 0 < i → (i * j < 0 ↔ j < 0);%associativity: ⊦ i * j * j0 = (i * j) * j0;%commutativity: ⊦ i * j = j * i; Used terms: j0, i * j