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Proof step 3 from proof cast-law-leftshift (previous step)

0 < i ⊦ cast(i, j * 2 ^ band(j0, 31)) = cast(i, cast(i, j) i<< j0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ i i<< j = i * 2 ^ band(j, 31)
Proof step 5:
0 < i ⊦ cast(i, j * 2 ^ band(j0, 31)) = cast(i, cast(i, j) * 2 ^ band(j0, 31))

Rule argument

name: intshiftleft-is-mult-01 rotate: F subst: [j, i] → [j0, cast(i, j)]

Additional information

Used terms: j0, cast(i, j)