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Proof step 5 from proof mult (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
i * j + i0 = i1 * j + j0, 0 < j, i0 < j, j0 < j, 0 < i1 * j + j0, 0 ≤ i0, 0 ≤ i, 0 ≤ j0 ⊦ i1 = i

Rule argument

Additional information

Used simplifier rules: lf-02: ⊦ i < j ∧ j = i0 → i < i0; (forward) from specification int-basic1