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Proof step 2 from proof modzero-03 (previous step)

i < 0, j0 < j, 0 < j, 0 ≤ i * j + j0 ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
i < j, i < i * j + j0, i < 0, j0 < j, 0 < j, i + 1 < j, 0 ≤ i * j + j0 ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ i +1 = i + 1; (s)%forward-lsle: ⊦ i < j ∧ j ≤ j0 → i < j0; (forward) from specification int-abs%trans: ⊦ i < j ∧ j < j0 → i < j0; (forward) from specification int-basic1%lf-01: ⊦ i < j ∧ j < i0 → i +1 < i0; (forward) from specification int-basic1