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Proof step 2 from proof mult-pos (previous step)

i * i1 = j, 0 < j, i1 < 0, 0 ≤ i ⊦

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: zero-gr-01: ⊦ i < 0 → (0 < i * j ↔ j < 0);%associativity: ⊦ i * j * j0 = (i * j) * j0;%commutativity: ⊦ i * j = j * i;% ⊦ i ≤ j → (j < i ↔ false); (as)