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Proof step 8 from proof cast-help-comm (previous step)

i < i0, 0 < i, 0 < i0, 1 < i0 ⊦ bits2int(lastn(i→n(i), fillsgn(i→n(i), int2bits(bits2int(lastn(i→n(i0), fillsgn(i→n(i0), int2bits(j)))))))) = cast(i0, bits2int(lastn(i→n(i), fillsgn(i→n(i), int2bits(j)))))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ cast(i, j) = bits2int(lastn(i→n(i), fillsgn(i→n(i), int2bits(j))))
Proof step 10:
i < i0, 0 < i, 0 < i0, 1 < i0 ⊦ bits2int(lastn(i→n(i), fillsgn(i→n(i), int2bits(bits2int(lastn(i→n(i0), fillsgn(i→n(i0), int2bits(j)))))))) = bits2int(lastn(i→n(i0), fillsgn(i→n(i0), int2bits(bits2int(lastn(i→n(i), fillsgn(i→n(i), int2bits(j))))))))

Rule argument

name: cast-def rotate: F subst: [j, i] → [bits2int(lastn(i→n(i), fillsgn(i→n(i), int2bits(j)))), i0]

Additional information

Used terms: bits2int(lastn(i→n(i), fillsgn(i→n(i), int2bits(j)))), i0