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Proof step 37 from proof div-div-pred-01 (previous step)

j0 ≤ 0, i1 * 4 + j1 ≤ ~3, i1 * 4 + j1 < 0, abs(j0) < 2, abs(j1) < 4, j1 ≤ 0, 8 * i1 + j0 + j1 * 2 < ~7, 8 * i1 + j0 + j1 * 2 < 0, j0 + j1 * 2 < 0, i1 < 0 ⊦ (j0 + j1 * 2) / 8 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 38:
abs(i) < abs(j) ⊦ i / j = 0
Proof step 39:
¬ abs(j0 + j1 * 2) < abs(8), j0 ≤ 0, i1 * 4 + j1 ≤ ~3, i1 * 4 + j1 < 0, abs(j0) < 2, abs(j1) < 4, j1 ≤ 0, 8 * i1 + j0 + j1 * 2 < ~7, 8 * i1 + j0 + j1 * 2 < 0, j0 + j1 * 2 < 0, i1 < 0 ⊦ (j0 + j1 * 2) / 8 = 0

Rule argument

spec: inst: name: div-zero-02 seq: abs(i) < abs(j) ⊦ i / j = 0 subst: [j, i] → [8, j0 + j1 * 2] flags: rewrite, current

Additional information

Used terms: 8, j0 + j1 * 2