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Proof step 14 from proof cast-law-and-one (previous step)

0 < i ⊦ bits2int(lastn(i→n(i), fillsgn(i→n(i), bitsand(int2bits(j), int2bits(j0))))) = cast(i, bits2int(bitsand(sgn(lastn(i→n(i), fillsgn(i→n(i), int2bits(j)))), int2bits(j0))))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ cast(i, j) = bits2int(lastn(i→n(i), fillsgn(i→n(i), int2bits(j))))
Proof step 16:
0 < i ⊦ bits2int(lastn(i→n(i), fillsgn(i→n(i), bitsand(int2bits(j), int2bits(j0))))) = bits2int(lastn(i→n(i), fillsgn(i→n(i), int2bits(bits2int(bitsand(sgn(lastn(i→n(i), fillsgn(i→n(i), int2bits(j)))), int2bits(j0)))))))

Rule argument

name: cast-def rotate: F subst: [j, i] → [bits2int (bitsand (sgn(lastn(i→n(i), fillsgn(i→n(i), int2bits(j)))), int2bits(j0))), i]

Additional information

Used terms: bits2int (bitsand (sgn(lastn(i→n(i), fillsgn(i→n(i), int2bits(j)))), int2bits(j0))), i