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Proof step 1 from proof noeth-zero-ls (conclusion)

abs(i) < i0, 0 < abs(i), 0 < j ⊦ 0 < abs(i) * j

User applied rule structural induction

And obtained the following new goals

Proof step 2:
∀ i, j. abs(i) < i1 ∧ 0 < abs(i) ∧ 0 < j → 0 < abs(i) * j, abs(i) < i1 +1, 0 < abs(i), 0 < j ⊦ 0 < abs(i) * j
Proof step 11:
∀ i, j. abs(i) < i1 ∧ 0 < abs(i) ∧ 0 < j → 0 < abs(i) * j, abs(i) < i1 -1, 0 < abs(i), 0 < j ⊦ 0 < abs(i) * j

Rule argument

indvar: i0

Additional information

Used simplifier rules: int generated by 0, +1, -1;;%absls: ⊦ ¬ abs(i) < 0; from specification int-abs