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Proof step 17 from proof shiftright-shift (previous step)

¬ j + j0 < 0, 0 < j, j + j0 < 32, i < 0, 0 ≤ j0, ∀ j0, i, j1. i→n(j1) < i→n(j) → i < 0 ∧ 0 ≤ j0 ∧ 0 ≤ j1 ∧ j1 + j0 < 32 → (i >> j1) >> j0 = i >> (j1 + j0) ⊦ j + j0 = 0, (i >> j) >> j0 = (i - 1) / 2 >> (j + j0 - 1), j = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
0 < j, j + j0 < 32, i < 0, 0 ≤ j0, 0 < j + j0, ∀ j0, i, j1. i→n(j1) < i→n(j) → i < 0 ∧ 0 ≤ j0 ∧ 0 ≤ j1 ∧ j1 + j0 < 32 → (i >> j1) >> j0 = i >> (j1 + j0) ⊦ (i >> j) >> j0 = (i - 1) / 2 >> (j + j0 - 1), j = 0

Rule argument

Additional information

Used simplifier rules: ⊦ i < j ∧ 0 < i → 0 < j ∧ 1 < j; (forward)% ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward)% ⊦ i < j → ¬ j < i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i;% ⊦ ¬ i < j → (i ≠ j ↔ j < i);