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Proof step 1 from proof cast-law-and-one (conclusion)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ band(i, j) = bits2int(bitsand(int2bits(i), int2bits(j)))
Proof step 3:
0 < i ⊦ cast(i, bits2int(bitsand(int2bits(j), int2bits(j0)))) = cast(i, band(cast(i, j), j0))

Rule argument

name: band-def rotate: F subst: [j, i] → [j0, j]

Additional information

Used terms: j0, j