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Proof step 8 from proof eq-nonzero (previous step)

i * j = i * j0, j0 < j, i < 0 ⊦ i = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ i < 0 → (i * j < i * j0 ↔ j0 < j)
Proof step 10:
i < 0, i * j = i * j0, i * j < i * j0, i < 0 ⊦ i = 0

Rule argument

spec: int-mult inst: name: ls-neg seq: ⊦ i < 0 → (i * j < i * j0 ↔ j0 < j) subst: [i, j, j0] → [i, j, j0] flags: rewrite, current

Additional information

Used terms: i, j, j0