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Proof step 39 from proof int2bytes-rec-pos (previous step)

uint2bits(i) = uint2bits(i / 256) + fillsgn(9, uint2bits(i % 256)).rest, # uint2bits(i % 256) ≤ 9, 255 < i, 0 < i, 0 ≤ i ⊦ fillsgn(9, uint2bits(i % 256)) = [], i2b(bits2int(fillsgn(9, uint2bits(i % 256)).rest)) = bits2bytes(int2bits(i % 256)).last

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 40:
⊦ int2bytes(i) = bits2bytes(int2bits(i))
Proof step 41:
uint2bits(i) = uint2bits(i / 256) + fillsgn(9, uint2bits(i % 256)).rest, # uint2bits(i % 256) ≤ 9, 255 < i, 0 < i, 0 ≤ i ⊦ fillsgn(9, uint2bits(i % 256)) = [], i2b(bits2int(fillsgn(9, uint2bits(i % 256)).rest)) = int2bytes(i % 256).last

Rule argument

name: int2bytes rotate: T subst: [i] → [i % 256]

Additional information

Used terms: i % 256