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Proof step 56 from proof int2bytes-rec-pos (previous step)

uint2bits(i) = uint2bits(i / 256) + fillsgn(8, uint2bits(i % 256)), i % 256 ≤ 127, 0 ≤ i, 0 < i, 255 < i, # uint2bits(i % 256) < 9 ⊦ bits2int(uint2bits(i % 256)) = i % 256, i2b(bits2int(uint2bits(i % 256))) = i2b(i % 256)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ 0 ≤ i → int2bits(i) = uint2bits(i) subst: [i] → [i % 256] rotate: T spec: int2bits inst: name: int2bits-pos

Additional information

Used simplifier rules: ⊦ 0 < j ∧ 0 ≤ i → 0 ≤ i % j;% ⊦ bits2int(int2bits(i)) = i; Used terms: i % 256