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Proof step 31 from proof int2bytes-fillsgn-rec (previous step)

0 ≤ bytes2int(int2bytes(i >> 8) + i2b(i) '), i < 0, i >> 8 < 0, i < ~128, # int2bytes(i >> 8) + 1 < n, # int2bytes(i >> 8) < n ⊦ n = # int2bytes(i >> 8) + 1, fillsgn(n, int2bytes(i >> 8) + i2b(i) ') = (mklist(i2b(~1), n - 1 - # int2bytes(i >> 8)) + int2bytes(i >> 8)) + i2b(i) '

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 32:
⊦ 0 ≤ bytes2int(bytes) ↔ bytes = [] ∨ 0 ≤ b2i(bytes.first)
Proof step 33:
int2bytes(i >> 8) + i2b(i) ' = [] ∨ 0 ≤ b2i((int2bytes(i >> 8) + i2b(i) ').first), i < 0, i >> 8 < 0, i < ~128, # int2bytes(i >> 8) + 1 < n, # int2bytes(i >> 8) < n ⊦ n = # int2bytes(i >> 8) + 1, fillsgn(n, int2bytes(i >> 8) + i2b(i) ') = (mklist(i2b(~1), n - 1 - # int2bytes(i >> 8)) + int2bytes(i >> 8)) + i2b(i) '

Rule argument

name: bytes2int-pos rotate: F subst: [bytes] → [int2bytes(i >> 8) + i2b(i) ']

Additional information

Used terms: int2bytes(i >> 8) + i2b(i) '