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Proof step 1 from proof cast-law-leftshift (conclusion)

0 < i ⊦ cast(i, j i<< j0) = cast(i, cast(i, j) i<< j0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ i i<< j = i * 2 ^ band(j, 31)
Proof step 3:
0 < i ⊦ cast(i, j * 2 ^ band(j0, 31)) = cast(i, cast(i, j) i<< j0)

Rule argument

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

Additional information

Used terms: j0, j