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Proof step 2 from proof zero-le-01 (previous step)

i < 0 ⊦ i * j ≤ 0 ↔ 0 ≤ j

User applied rule insert lemma

And obtained the following new goals

Proof step 3:
⊦ i < 0 → (i * j ≤ i * i0 ↔ i0 ≤ j)
Proof step 4:
i < 0 → (i * j ≤ i * 0 ↔ 0 ≤ j), i < 0 ⊦ i * j ≤ 0 ↔ 0 ≤ j

Rule argument

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

Additional information

Used terms: i, j, 0