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Proof step 17 from proof div-shift-two (previous step)

¬ i0 * j + j0 < (1 + 2 * i0 / 2) * j, j0 < j, 0 < j, 0 ≤ j0, 0 ≤ i0 ⊦ i0 = 1 + 2 * i0 / 2, j = 0

User applied rule insert elim lemma

And obtained the following new goals

Rule argument

spec: int-div inst: name: div-elim-pospos seq: ⊦ 0 < j ∧ 0 ≤ i → ( i0 = i / j ∧ j0 = i % j ↔ i = i0 * j + j0 ∧ 0 ≤ j0 ∧ j0 < j ∧ 0 ≤ i0) subst: [i, j, i0, j0] → [i0, 2, i, j1] flags: rewrite, current

Additional information

Used terms: i0, 2, i, j1