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Proof step 1 from proof mult-ls-04 (conclusion)

⊦ i / (n→i(n) + 1) < i0 → i < i0 * n→i(n) + i0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
i / (n→i(n) + 1) < i0, i0 * (n→i(n) + 1) ≤ i ⊦

Rule argument

Additional information

Used simplifier rules: lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs%add-c: ⊦ i + j = j + i; from specification int-basic2%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%succ-rmerge: ⊦ i * j + i = i * (j + 1); from specification int-mult