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Proof step 1 from proof byte-is-cast (conclusion)

⊦ b2i(i2b(i)) = cast(8, i)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ cast(i, j) = bits2int(lastn(i→n(i), fillsgn(i→n(i), int2bits(j))))
Proof step 3:
⊦ b2i(i2b(i)) = bits2int(lastn(i→n(8), fillsgn(i→n(8), int2bits(i))))

Rule argument

seq: ⊦ cast(i, j) = bits2int(lastn(i→n(i), fillsgn(i→n(i), int2bits(j)))) subst: [j, i] → [i, 8] rotate: F spec: intops inst: name: cast-def

Additional information

Used terms: i, 8