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Proof step 21 from proof cast-law-mult-pos (previous step)

0 ≤ j, j < 2 ^ i, 2 ^ (i - 1) ≤ j, 0 < i, 0 ≤ i0, 0 ≤ i, 0 < j ⊦ cast(i, j * j0) = cast(i, ~ j0 * 2 ^ i + j * j0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 22:
⊦ 0 < i → cast(i, j * 2 ^ i + j0) = cast(i, j0)

Rule argument

name: cast-mult-add rotate: F subst: [j0, j, i] → [j * j0, ~ j0, i]

Additional information

Used simplifier rules: ⊦ i * j = j * i; Used terms: j * j0, ~ j0, i