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Proof step 59 from proof div-div-rec (previous step)

¬(0 < 2 ^ i * 2 ∧ i1 ≤ 0 ∧ 2 ^ i * j1 + j0 ≤ 0 ∧ abs(2 ^ i * j1 + j0) < 2 ^ i * 2), 2 ^ i * (j1 + 2 * (i1 + 1)) + j0 < i, 2 ^ i * (j1 + 2 * (i1 + 1)) + j0 ≤ 0, 0 ≤ i, (2 * i1 + j1) + 1 < i, 2 ^ i * ((2 * i1 + j1) + 1) + j0 < 0, 2 * i1 + j1 < 0, j0 < i, j0 ≤ 0, abs(j1) < 2, i1 < i, i1 ≤ 0, j1 < i, j1 ≤ 0, abs(j0) < 2 ^ i, 0 < i ⊦ i1 = ((2 ^ i * 2) * i1 + 2 ^ i * j1 + j0) / (2 ^ i * 2)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: pot2-pos: ⊦ 0 < 2 ^ i ↔ 0 ≤ i;%two-lsz: ⊦ ¬ 2 ^ i < 0;%forward-lele: ⊦ j ≤ j0 ∧ j0 ≤ j1 → j ≤ j1; (forward) from specification int-abs%forward-le-04: ⊦ j ≤ i ∧ i ≤ 0 → j ≤ 0; (forward) from specification int-abs%lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs%zero-gr-03: ⊦ i ≤ 0 → (0 < i * j ↔ ¬ ¬(j < 0 ∧ i ≠ 0)); from specification int-mult%ls-02: ⊦ i < i + j ↔ 0 < j; from specification int-basic2%forward-lels: ⊦ i ≤ j ∧ j < j0 → i < j0; (forward) from specification int-abs%forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs%zero-gels-04: ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j; from specification int-abs%zero-gr: ⊦ 0 < i → (0 < i * j ↔ 0 < j); from specification int-mult%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%dist-rmerge: ⊦ i * j + i * j0 = i * (j + j0); from specification int-mult