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Proof step 4 from proof cast-band (previous step)

# int2bits(j0) = m + 1, n→i(m) ≤ i, 0 ≤ j0 ⊦ band(cast(i, j), j0) = band(j, j0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ cast(i, j) = bits2int(lastn(i→n(i), fillsgn(i→n(i), int2bits(j))))
Proof step 6:
# int2bits(j0) = m + 1, n→i(m) ≤ i, 0 ≤ j0 ⊦ band(bits2int(lastn(i→n(i), fillsgn(i→n(i), int2bits(j)))), j0) = band(j, j0)

Rule argument

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

Additional information

Used terms: j, i