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Proof step 2 from proof cast-help-comm (previous step)

i < i0, 0 < i, 0 < i0, 1 < i0 ⊦ cast(i, cast(i0, j)) = cast(i0, cast(i, j))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ cast(i, j) = bits2int(lastn(i→n(i), fillsgn(i→n(i), int2bits(j))))
Proof step 4:
i < i0, 0 < i, 0 < i0, 1 < i0 ⊦ cast(i, bits2int(lastn(i→n(i0), fillsgn(i→n(i0), int2bits(j))))) = cast(i0, cast(i, j))

Rule argument

name: cast-def rotate: F subst: [j, i] → [j, i0]

Additional information

Used terms: j, i0