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Proof step 5 from proof divide-by-10 (previous step)

i ≤ 65536, 0 ≤ i ⊦ >>>(32, i * 52429, 19) = i / 10

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ 0 ≤ i → >>>(n, i, j) = i >> j
Proof step 7:
0 ≤ i * 52429, i ≤ 65536, 0 ≤ i ⊦ i * 52429 >> 19 = i / 10

Rule argument

spec: inst: name: shiftzero-pos seq: ⊦ 0 ≤ i → >>>(n, i, j) = i >> j subst: [j, i, n] → [19, i * 52429, 32] flags: rewrite, current

Additional information

Used simplifier rules: ⊦ 0 < i → (0 ≤ i * j ↔ 0 ≤ j);% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i ≤ j → (¬ ¬ j < i ↔ false);% ⊦ i * j * j0 = (i * j) * j0;% ⊦ i * j = j * i; Used terms: 19, i * 52429, 32