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Proof step 14 from proof int2bytes-rec-pos (previous step)

uint2bits(i) = uint2bits(i / 256) + fillsgn(9, uint2bits(i % 256)).rest, 255 < i, 0 < i, 0 ≤ i, # uint2bits(i / 256) + # fillsgn(9, uint2bits(i % 256)).rest ≤ 8 ⊦ bits2bytes(uint2bits(i)) = bits2bytes(uint2bits(i / 256)) + bits2bytes(int2bits(i % 256)).last '

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ bits ≠ [] ∧ # bits < n → fillsgn(n, bits) = bits.first ' + fillsgn(n -1, bits) subst: [bits, n] → [uint2bits(i % 256), 9] rotate: F spec: bitopsaux inst: name: fill-rec

Additional information

Used terms: uint2bits(i % 256), 9