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

i * i0 + j0 = i1 * j + j1, j1 < j, j0 < j, 0 ≤ i, 0 ≤ i0, 0 ≤ j1, 0 ≤ j0 ⊦ j < i0, i1 ≤ i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
i * i0 + j0 = i1 * j + j1, j0 < j, j1 < j, i < i1, 0 < j, 0 < i1, i0 ≤ j, 0 ≤ j0, 0 ≤ j1, 0 ≤ i0, 0 ≤ i, 0 ≤ j ⊦

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%forward-le-01: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward) from specification int-abs% ⊦ i < j ↔ ¬ j ≤ i; (ss)% ⊦ i ≤ j ↔ ¬ j < i; (ss)