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Proof step 19 from proof int2bytes-byte-neg (previous step)

~256 < i, i < ~128, i < 0, # int2bits(i) ≤ 9 ⊦ i2b(bits2int(restn(1, int2bits(i)))) = i2b(i)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 20:
⊦ 0 < n → restn(n, bits) = restn(n -1, bits.rest)
Proof step 21:
0 < 1, ~256 < i, i < ~128, i < 0, # int2bits(i) ≤ 9 ⊦ i2b(bits2int(restn(1 -1, int2bits(i).rest))) = i2b(i)

Rule argument

seq: ⊦ 0 < n → restn(n, bits) = restn(n -1, bits.rest) subst: [bits, n] → [int2bits(i), 1] rotate: F spec: list-del inst: bitlista name: rest-rec

Additional information

Used terms: int2bits(i), 1