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Proof step 11 from proof int2bytes-le255 (previous step)

0 ≤ i, 0 < i, i ≤ 255, 127 < i, 8 < # int2bits(i) ⊦ bits2bytes(firstn(# int2bits(i) - 8, int2bits(i))) + i2b(bits2int(lastn(8, int2bits(i)))) ' = i2b(0) ' + i2b(i - 256) '

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 12:
⊦ 0 ≤ i → int2bits(i) = uint2bits(i)
Proof step 13:
0 ≤ i, 0 ≤ i, 0 < i, i ≤ 255, 127 < i, 8 < # uint2bits(i) ⊦ bits2bytes(firstn(# uint2bits(i) - 8, uint2bits(i))) + i2b(bits2int(lastn(8, uint2bits(i)))) ' = i2b(0) ' + i2b(i - 256) '

Rule argument

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

Additional information

Used terms: i