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Proof step 9 from proof cast-law-neg (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ 0 < i → cast(i, j + 2 ^ i) = cast(i, j)
Proof step 11:
0 < i, 0 < i, 0 ≤ i, i0 < 2 ^ i + j0, i0 < i, i0 ≤ 0, 0 < 2 ^ i + j0, i0 * 2 ^ i + j0 < 0, j0 < 0, 0 < i ⊦ cast(i, ~ j0) = cast(i, ~ cast(i, j0 + 2 ^ i))

Rule argument

name: cast-add-2pot rotate: T subst: [j, i] → [j0, i]

Additional information

Used terms: j0, i