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Proof step 3 from proof le-same-03 (previous step)

i < 0 ⊦ i ≤ i * j ↔ j ≤ 1

User applied rule apply lemma

And obtained the following new goals

Proof step 4:
⊦ i < 0 → (i * j ≤ i * i0 ↔ i0 ≤ j)
Proof step 5:
i < 0, i < 0 → (i * 1 ≤ i * j ↔ j ≤ 1) ⊦ i ≤ i * j ↔ j ≤ 1

Rule argument

spec: <toplevel> name: le-neg seq: ⊦ i < 0 → (i * j ≤ i * i0 ↔ i0 ≤ j) subst: [i, j, i0] → [i, 1, j]

Additional information

Used terms: i, 1, j