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Proof step 32 from proof shiftright-shift (previous step)

0 ≤ j + j0, 0 ≤ i, 0 ≤ j0, 0 ≤ j, j + j0 < 32, 0 ≤ i / 2 ^ j ⊦ (i / 2 ^ j) / 2 ^ j0 = i / (2 ^ j * 2 ^ j0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 33:
⊦ j ≠ 0 ∧ j0 ≠ 0 → i / (j * j0) = (i / j) / j0

Rule argument

seq: ⊦ j ≠ 0 ∧ j0 ≠ 0 → i / (j * j0) = (i / j) / j0 subst: [j0, j, i] → [2 ^ j0, 2 ^ j, i] rotate: F spec: int-div inst: name: div-div-intro

Additional information

Used simplifier rules: ⊦ i + j = j + i;% ⊦ 0 ≤ j → 2 ^ j ≠ 0; Used terms: 2 ^ j0, 2 ^ j, i