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Proof step 12 from proof div-ls-mone (previous step)

i0 < i0 * j + 2 * j, i0 + 1 < j, 0 < j, i0 < j, 1 + i0 * j < j, i0 < 0, i0 < ~1, 0 < i0 * j + 2 * j, i0 + 1 < i0 * j + 2 * j ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-basic2 inst: name: ex-ls-add seq: ⊦ i < j ↔ (∃ i0. j = i + i0 ∧ 0 < i0) subst: [j, i] → [~1, i0] flags: rewrite

Additional information

Used terms: ~1, i0