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Proof step 5 from proof mod-rec (previous step)

0 ≤ j0, 0 < j, j ≤ i0 * j + j0, j0 < j, 0 < i0 * j + j0, 0 < i0 ⊦ j0 = (i0 * j + j0 - j) % j

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

spec: int-abs inst: name: elim-sub seq: ⊦ i0 = i - j ↔ i = i0 + j subst: [i, j, i0] → [i0 * j + j0, j, i] flags:

Additional information

Used simplifier rules: ⊦ i0 = i - j ↔ i = i0 + j; (elim) Used terms: i0 * j + j0, j, i