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Proof step 2 from proof int2bytes-le255 (previous step)

127 < i, i ≤ 255, 0 < i, 0 ≤ i ⊦ bits2bytes(int2bits(i)) = i2b(0) ' + i2b(i - 256) '

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ 8 < # bits → bits2bytes(bits) = bits2bytes(firstn(# bits - 8, bits)) + i2b(bits2int(lastn(8, bits)))
Proof step 4:
¬ 8 < # int2bits(i), 127 < i, i ≤ 255, 0 < i, 0 ≤ i ⊦ bits2bytes(int2bits(i)) = i2b(0) ' + i2b(i - 256) '
Proof step 10:
8 < # int2bits(i), 127 < i, i ≤ 255, 0 < i, 0 ≤ i ⊦ bits2bytes(firstn(# int2bits(i) - 8, int2bits(i))) + i2b(bits2int(lastn(8, int2bits(i)))) = i2b(0) ' + i2b(i - 256) '

Rule argument

name: bits2bytes-rec rotate: F subst: [bits] → [int2bits(i)]

Additional information

Used terms: int2bits(i)