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Proof step 10 from proof cast-band (previous step)

# int2bits(j0) = m + 1, n→i(m) ≤ i, 0 ≤ j0 ⊦ bits2int(bitsand(int2bits(bits2int(lastn(i→n(i), fillsgn(i→n(i), int2bits(j))))), int2bits(j0))) = bits2int(bitsand(int2bits(j), int2bits(j0)))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: bits ≠ [] ⊦ int2bits(bits2int(bits)) = sgn(bits) subst: [bits] → [lastn(i→n(i), fillsgn(i→n(i), int2bits(j)))] rotate: F spec: int2bits inst: name: bits2bits-def

Additional information

Used terms: lastn(i→n(i), fillsgn(i→n(i), int2bits(j)))