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

⊦ s2i(i2s(i)) = cast(16, i)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ s2i(i2s(i)) = bits2int(lastn(16, fillsgn(16, int2bits(i))))
Proof step 3:
⊦ bits2int(lastn(16, fillsgn(16, int2bits(i)))) = cast(16, i)

Rule argument

name: sis-on-bits rotate: F subst: [i] → [i]

Additional information

Used terms: i