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Proof step 7 from proof le-neg (previous step)

j < i0, i < 0, i * j ≤ i * i0 ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ i < 0 → (i * j < i * j0 ↔ j0 < j)
Proof step 9:
i * i0 < i * j, i < 0, i * j ≤ i * i0 ⊦

Rule argument

spec: <toplevel> name: ls-neg seq: ⊦ i < 0 → (i * j < i * j0 ↔ j0 < j) subst: [i, j, j0] → [i, i0, j] flags: <rotated> <all paths>

Additional information

Used terms: i, i0, j