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Proof step 4 from proof zero-le-01 (previous step)

i < 0 → (i * j ≤ i * 0 ↔ 0 ≤ j), i < 0 ⊦ i * j ≤ 0 ↔ 0 ≤ j

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: Mult-zero: ⊦ i * 0 = 0;%associativity: ⊦ i * j * j0 = (i * j) * j0;%commutativity: ⊦ i * j = j * i;