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Proof step 22 from proof cast-band (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 23:
⊦ bits2int(bits) = bits2int(sgn(bits))
Proof step 24:
# int2bits(j0) = m + 1, n→i(m) ≤ i, 0 ≤ j0 ⊦ bits2int(sgn(bitsand(lastn(i→n(i), fillsgn(i→n(i), int2bits(j))), int2bits(j0)))) = bits2int(bitsand(int2bits(j), int2bits(j0))), i = 0

Rule argument

seq: ⊦ bits2int(bits) = bits2int(sgn(bits)) subst: [bits] → [bitsand (lastn(i→n(i), fillsgn(i→n(i), int2bits(j))), int2bits(j0))] rotate: F spec: int2bits inst: name: bits2int-sgn-intro

Additional information

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